in Education by
In Example 99, the conditional probability that X≥6 given X>3 equals A. 125 216 B. 25 216 C. 5 36 D. 25 36 Select the correct answer from above options

1 Answer

0 votes
by
 
Best answer
Correct Answer - D Let A and B denote the events defined below : A=Getting a six in 6 t h 6 or more trial. B=Getting a six in 4 t h 4 or more trial. Required probability = P ( A / B ) = P ( A ∩ B ) P ( B ) = ⇒ ⇒ Required probability = P ( X ≥ 6 ) P ( X > 3 ) = ( 5 6 ) 5 × 1 ( 5 6 ) 3 = 25 36 =

Related questions

0 votes
    In Example 99, the probability that X≥3 equals A. 125 216 B. 25 36 C. 5 36 D. 25 216 Select the correct answer from above options...
asked Nov 16, 2021 in Education by JackTerrance
0 votes
    A fair die is tossed repeatedly until a six is obtained Let X denote the number of tosses required The probability that ... D. 125 216 Select the correct answer from above options...
asked Nov 16, 2021 in Education by JackTerrance
0 votes
0 votes
    By examining the chest X ray, the probability that TB is detected when a person is actually suffering is 0.99. ... he actually has TB? Select the correct answer from above options...
asked Nov 20, 2021 in Education by JackTerrance
0 votes
    A die is thrown twice and the sum of the numbers appearing is observed to be 6. What is the conditional probability ... 36 D. 1 36 Select the correct answer from above options...
asked Nov 15, 2021 in Education by JackTerrance
0 votes
0 votes
    In a given race, the odds in favour of horses A, B, C,D are 1 : 3 , 1 : 4 , 1 : 5 , 1 : ... probability that horse C wins the race is Select the correct answer from above options...
asked Nov 15, 2021 in Education by JackTerrance
0 votes
    Explain conditional probability with the help of an example. Select the correct answer from above options...
asked Nov 19, 2021 in Education by JackTerrance
0 votes
0 votes
0 votes
    You are given that A and B are two events such that P(B)= 3/5, P(A | B) = 1/2 and P(A ∪ B) = 4/5, then P(A ... /10 B. 1/5 C. 1/2 D. 3/5 Select the correct answer from above options...
asked Nov 20, 2021 in Education by JackTerrance
0 votes
    A fair coin is tossed 99 times. If X is the number of times heads occur, then P(X=r) is maximum when r is ... 51,52 D. none of these Select the correct answer from above options...
asked Nov 16, 2021 in Education by JackTerrance
...