Ask a Question

The probability of intersection of two events A and B is always less than or equal to those favourable to the event A.

in Education by
State whether the statement are True or False. The probability of intersection of two events A and B is always less than or equal to those favourable to the event A. Select the correct answer from above options

1 Answer

0 votes
by
 
Best answer
Given A and B are two events. We know that A ⋂ B ⊂ A ⇒ P(A ⋂ B) ≤ P(A) Hence, the given statement is True.

Related questions

0 votes
Q: The probability of intersection of two events A and B is always less than or equal to those favourable to the event A.
    The probability of intersection of two events A and B is always less than or equal to those favourable to the event A. Select the correct answer from above options...
asked Nov 15, 2021 in Education by JackTerrance
0 votes
Q: Two dice are thrown. If it is known that the sum of numbers on the dice was less than 6, the probability of getting a sum 3, is
    Two dice are thrown. If it is known that the sum of numbers on the dice was less than 6, the probability of getting a ... . 1/5 D. 2/5 Select the correct answer from above options...
asked Nov 20, 2021 in Education by JackTerrance
0 votes
Q: Let A and B be two events such that P(A) = 3/8, P(B) = 5/8 and P(A ∪ B) = 3/4. Then P(A | B).P(A′ | B) is equal to
    Let A and B be two events such that P(A) = 3/8, P(B) = 5/8 and P(A ∪ B) = 3/4. Then P(A | B).P(A′ | B) ... .2/5 B. 3/8 C. 3/20 D. 6/25 Select the correct answer from above options...
asked Nov 20, 2021 in Education by JackTerrance
0 votes
Q: If two events are independent, then A. they must be mutually exclusive B. the sum of their probabilities must be equal to 1
    If two events are independent, then A. they must be mutually exclusive B. the sum of their probabilities must ... the above is correct Select the correct answer from above options...
asked Nov 20, 2021 in Education by JackTerrance
0 votes
Q: The probability of happening of an event A is 0.5 and that of B is 0.3. If A and B are mutually exclusive events,
    Fill in the blanks: The probability of happening of an event A is 0.5 and that of B is 0.3. If A and B ... neither A nor B is ________. Select the correct answer from above options...
asked Nov 20, 2021 in Education by JackTerrance
0 votes
Q: When a die is thrown, the probability of getting an odd number less than 3 is
    When a die is thrown, the probability of getting an odd number less than 3 is (A) 1/6 (B) 1/3 (C) 1/2 (D) 0 Select the correct answer from above options...
asked Nov 21, 2021 in Education by JackTerrance
0 votes
Q: Two independent events are always mutually exclusive.
    State True or False for the statement: Two independent events are always mutually exclusive. Select the correct answer from above options...
asked Nov 19, 2021 in Education by JackTerrance
0 votes
Q: Two dice are thrown. Find the probability that the sum is 8 or greater than 8, if 3 appears on the first die
    Two dice are thrown. Find the probability that the sum is 8 or greater than 8, if 3 appears on the first die. (a)\ ... \(\frac{7}{8}\) Select the correct answer from above options...
asked Nov 19, 2021 in Education by JackTerrance
0 votes
Q: The probability that at least one of the two events A and B occurs is 0.6. If A and B occur simultaneously with probability 0.3, evaluate
    The probability that at least one of the two events A and B occurs is 0.6. If A and B occur ... probability 0.3, evaluate Select the correct answer from above options...
asked Nov 20, 2021 in Education by JackTerrance
0 votes
Q: If the events A and B are independent, then P(A ∩ B) is equal to A. P (A) + P B. (B) P(A) – P(B) C. P (A) . P(B) D. P(A) | P(B)
    If the events A and B are independent, then P(A ∩ B) is equal to A. P (A) + P B. (B) P(A) – P(B) C. P (A) . P(B) D. P(A) | P(B) Select the correct answer from above options...
asked Nov 20, 2021 in Education by JackTerrance
0 votes
Q: If A and B are events such that P(A ∪ B) = 0.5, P B( ) = 0.8 and P(A/B) = 0.4, then what is P(A ∩ B) equal to ?
    If A and B are events such that P(A ∪ B) = 0.5, P B( ) = 0.8 and P(A/B) = 0.4, then what is P(A ∩ B) ... (b) 0.02 (c) 0.2 (d) 0.8 Select the correct answer from above options...
asked Nov 19, 2021 in Education by JackTerrance
0 votes
Q: Which of the following cannot be the probability of an event? (A)1/3 (B) 0.1 (C) 3% (D)17/16
    Which of the following cannot be the probability of an event? (A)1/3 (B) 0.1 (C) 3% (D)17/16 Select the correct answer from above options...
asked Nov 21, 2021 in Education by JackTerrance

© Copyright 2018-2023 www.Blogmepost.com. All rights reserved. Developed by Blogmepost.

...