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Q: A die is thrown 6 times. If getting an odd number is a success, what is the probability of(i) 5 successes?(ii) at least 5 successes?(iii) at most 5 su

A die is thrown 6 times. If getting an odd number is a success, what is the probability of(i) 5 successes?( ... ) at most 5 successes? Select the correct answer from above options...

asked Nov 13, 2021 in Education by JackTerrance

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Q: A bag consists of 10 balls each marked with one of the digits 0 to 9. If four balls are drawn successively with replacement from the bag, what is the

A bag consists of 10 balls each marked with one of the digits 0 to 9. If four balls are drawn successively with ... with the digit 0? Select the correct answer from above options...

asked Nov 13, 2021 in Education by JackTerrance

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Q: Suppose X has a binomial distribution `B(6,1/2)`. Show that `X = 3`is the most likely outcome.(Hint: `P(x=3)`is the maximum among all `P(x_i),x_i=0,1,

Suppose X has a binomial distribution `B(6,1/2)`. Show that `X = 3`is the most likely outcome.(Hint: `P(x=3)`is ... =0,1,2,3,4,5,6)` Select the correct answer from above options...

asked Nov 13, 2021 in Education by JackTerrance

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Q: Two numbers are selected at random (without replacement) from the first six positive integers. Let X denote the larger of the two numbers obtained. Fi

Two numbers are selected at random (without replacement) from the first six positive integers. Let X denote the larger ... Find E(X). Select the correct answer from above options...

asked Nov 13, 2021 in Education by JackTerrance

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Q: If a leap year is selected at random, what is the chance that it will contain 53 Tuesdays?

If a leap year is selected at random, what is the chance that it will contain 53 Tuesdays? Select the correct answer from above options...

asked Nov 13, 2021 in Education by JackTerrance

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Q: An unbiased die is thrown twice. Let the event A be odd number on the first throw and B the event odd number on the second throw. Check the independen

An unbiased die is thrown twice. Let the event A be odd number on the first throw and B the event odd number on ... the events A and B. Select the correct answer from above options...

asked Nov 13, 2021 in Education by JackTerrance

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Q: Bag I contains 3 red and 4 black balls while another Bag II contains 5 red and 6 black balls. One ball is drawn at random from one of the bags and it

Bag I contains 3 red and 4 black balls while another Bag II contains 5 red and 6 black balls. One ball is ... was drawn from Bag II. Select the correct answer from above options...

asked Nov 13, 2021 in Education by JackTerrance

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Q: How many times must a man toss a fair com so that the probability of having at least one head is more than 90%?

How many times must a man toss a fair com so that the probability of having at least one head is more than 90%? Select the correct answer from above options...

asked Nov 13, 2021 in Education by JackTerrance

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Q: A die marked 1, 2, 3 in red and 4, 5, 6 in green is tossed. Let A be the event, the number is even, and B be the event, the number is red. Are A and B

A die marked 1, 2, 3 in red and 4, 5, 6 in green is tossed. Let A be the event, the number is even, ... red. Are A and B independent? Select the correct answer from above options...

asked Nov 13, 2021 in Education by JackTerrance

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Q: Three cards are drawn successively, without replacement from a pack of 52 well shuffled cards. What is the probability that first two cards are kings

Three cards are drawn successively, without replacement from a pack of 52 well shuffled cards. What is the probability ... is an ace? Select the correct answer from above options...

asked Nov 13, 2021 in Education by JackTerrance

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Q: An urn contains 10 black and 5 white balls. Two balls are drawn from the nm one after the other without replacement. What is the probability that both

An urn contains 10 black and 5 white balls. Two balls are drawn from the nm one after the other without ... drawn balls are black? Select the correct answer from above options...

asked Nov 13, 2021 in Education by JackTerrance

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Q: Let A and B be independent events with `P(A) = 0. 3`and `P(B) = 0. 4`Find(i) `P(AnnB)` (ii) `P(AuuB)`(iii) `P (A|B) ` (iv) `P(B|A)`

Let A and B be independent events with `P(A) = 0. 3`and `P(B) = 0. 4`Find(i) `P(AnnB)` (ii) `P(AuuB)`(iii) `P (A|B) ` (iv) `P(B|A)` Select the correct answer from above options...

asked Nov 13, 2021 in Education by JackTerrance

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Q: If `P(A) = 7/(13)`, `P(B) =9/(13)`and `P(AnnB) =4/(13)`, evaluate`P(A|B)`.

If `P(A) = 7/(13)`, `P(B) =9/(13)`and `P(AnnB) =4/(13)`, evaluate`P(A|B)`. Select the correct answer from above options...

asked Nov 13, 2021 in Education by JackTerrance

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Q: Ten cards numbered 1 to 10 are placed in a box, mixed up thoroughly and then one card is drawn randomly. If it is known that the number on the drawn c

Ten cards numbered 1 to 10 are placed in a box, mixed up thoroughly and then one card is drawn randomly. If it ... is an even number? Select the correct answer from above options...

asked Nov 13, 2021 in Education by JackTerrance

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Q: A die is thrown three times. Events A and B are defined as below:A : 4 on the third throwB : 6 on the first and 5 on the second throwFind the probabil

A die is thrown three times. Events A and B are defined as below:A : 4 on the third throwB : 6 on the ... that B has already occurred. Select the correct answer from above options...

asked Nov 13, 2021 in Education by JackTerrance

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Q: In a school there are 1000 students, out of which 430 are girls. It is known that out of 430, 10% of the girls study in class XII. What is the probabi

In a school there are 1000 students, out of which 430 are girls. It is known that out of 430, 10% of the ... chosen student is a girl? Select the correct answer from above options...

asked Nov 13, 2021 in Education by JackTerrance

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Q: In a factory which manufactures bolts, machines A. B and C manufacture respectively 25%, 35% and 40% of the bolts. Of their outputs, 5, 4 and 2 percen

In a factory which manufactures bolts, machines A. B and C manufacture respectively 25%, 35% and 40% of the bolts. ... the machine B? Select the correct answer from above options...

asked Nov 13, 2021 in Education by JackTerrance

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Q: A die is tossed thrice. Find the probability of getting an odd number at least once.

A die is tossed thrice. Find the probability of getting an odd number at least once. Select the correct answer from above options...

asked Nov 13, 2021 in Education by JackTerrance

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Q: Two balls are drawn at random with replacement from a box containing 10 black and 8 red balls. Find the probability that(i) both balls are red

Two balls are drawn at random with replacement from a box containing 10 black and 8 red balls. Find the probability ... other is red. Select the correct answer from above options...

asked Nov 13, 2021 in Education by JackTerrance

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Q: Probability of solving specific problem independently by A and B are `1/2`and `1/3`respectively. If both try to solve the problem independently find t

Probability of solving specific problem independently by A and B are `1/2`and `1/3`respectively. If both try ... solves the problem. Select the correct answer from above options...

asked Nov 13, 2021 in Education by JackTerrance

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Q: Given three identical boxes I, II and III, each containing two coins. In box L both coins are gold coins, in box II, both are silver coins and in the

Given three identical boxes I, II and III, each containing two coins. In box L both coins are gold coins, in box ... is also of gold? Select the correct answer from above options...

asked Nov 13, 2021 in Education by JackTerrance

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Q: The probability of obtaining an even prime number on each die, when a pair of dice is rolled is(A) 0 (B) `1/3`(C) `1/(12)` (D) `1/(36)`

The probability of obtaining an even prime number on each die, when a pair of dice is rolled is(A) 0 (B) `1/3`(C) `1/(12)` (D) `1/(36)` Select the correct answer from above options...

asked Nov 13, 2021 in Education by JackTerrance

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Q: Bag I contains 3 red and 4 black balls and Bag II contains 4 red and 5 black balls. One ball is transferred from Bag I to Bag II and then a ball is dr

Bag I contains 3 red and 4 black balls and Bag II contains 4 red and 5 black balls. One ball is ... transferred ball is black. Select the correct answer from above options...

asked Nov 13, 2021 in Education by JackTerrance

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Q: Suppose we have four boxes A,B,C and D containing coloured marbles as given below :One of the boxes has been selected at random and a single marble is

Suppose we have four boxes A,B,C and D containing coloured marbles as given below :One of the boxes has been selected ... B?, box C? Select the correct answer from above options...

asked Nov 13, 2021 in Education by JackTerrance

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Q: A group of 2n boys and 2n girls is randomly divided into two equal groups. The probability that each group contains the same number of boys and girls

A group of 2n boys and 2n girls is randomly divided into two equal groups. The probability that each group contains ... ) None of these Select the correct answer from above options...

asked Nov 13, 2021 in Education by JackTerrance

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Q: A bag contains 1 white and 6 red balls, and a second bag contains 4 white and 3 red balls. One of the bags is picked up at random and a ball is random

A bag contains 1 white and 6 red balls, and a second bag contains 4 white and 3 red balls. One of the bags ... was from the first bag. Select the correct answer from above options...

asked Nov 13, 2021 in Education by JackTerrance

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Q: There are 3 bags, each containing 5 white balls and 3 black balls. Also there are 2 bags, each containing 2 white balls and 4 black balls. A white bal

There are 3 bags, each containing 5 white balls and 3 black balls. Also there are 2 bags, each containing 2 ... of the first group. Select the correct answer from above options...

asked Nov 13, 2021 in Education by JackTerrance

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Q: The probability of simultaneous occurrence of at least one of two events A and B is p. If the probability that exactly one of A, B occurs is q then pr

The probability of simultaneous occurrence of at least one of two events A and B is p. If the probability that exactly ... B )=2-2p+q Select the correct answer from above options...

asked Nov 13, 2021 in Education by JackTerrance

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Q: There are two bags. The first bag contains 5 white and 3 black balls and the second bag contains 3 white and 5 black balls. Two balls are drawn at ran

There are two bags. The first bag contains 5 white and 3 black balls and the second bag contains 3 white and ... are white and black. Select the correct answer from above options...

asked Nov 13, 2021 in Education by JackTerrance

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Q: Find the probability of drawing a one-rupee coin from a purse with two compartments one of which contains 3 fifty-paise coins and 2 one-rupee coins an

Find the probability of drawing a one-rupee coin from a purse with two compartments one of which contains 3 fifty ... one-rupee coins. Select the correct answer from above options...

asked Nov 13, 2021 in Education by JackTerrance