Probability questions
692 published questions with worked solutions.
- For a binomial distribution with mean 4 and standard deviation 3 , what is the value of P(X=0)?
- If P(A B)=1/2 and P( A B )=1/2, and 2P(A)=P(B)=k, then what is the value of k?
- A committee has 6 men and 4 women. One member is selected randomly which is woman only. What is the probability that she belongs...
- In a class, the probability of passing students in Mathematics is 0 7 and the probability of passing both Mathematics and...
- If two fair dice are tossed, then what is the probability that the sum of the numbers on the faces of the dice is neither 5 nor 7?
- Consider the following statements for three events A, B and C : I. P(A B C) P(A)+P(B)+P(C)-2 II. P(A B C) P(A)+P(B)+P(C) Which of...
- A Mathematics problem is given to two students X and Y to solve. The odds in favour of X solving the problem are 6 to 9 and the...
- The events A and B are independent among three events A, B and D. If P(A B D)=0 04, P(D|A B)=0 25 and P(B)=4P(A), then what is...
- Let two events A and B be such that P(A)=L and P(B)=M. Which one of the following is correct?
- If P(A B)= 5 6 , P(A B)= 1 3 and P( A )= 1 2 , then which of the following is/are correct? 1. A and B are independent events. 2....
- A coin is tossed twice. If E and F denote occurrence of head on first toss and second toss respectively, then what is P(E F)...
- If A and B are two events such that P(A)= 3 4 and P(B)= 5 8 , then consider the following statements : 1. The minimum value of...
- Consider the following relations for two events E and F : 1. P(E F) P(E)+P(F)-1 2. P(E F)=P(E)+P(F)+P(E F) 3. P(E F) P(E)+P(F)...
- If P(A B)<P(A), then which one of the following is correct?
- In a cricket match, a batsman hits a six 8 times out of 60 balls he plays. What is the probability that on a ball played he does...
- 3-digit numbers are formed using the digits 1, 3, 7 without repetition of digits. A number is randomly selected. What is the...
- If A and B are two events such that P( not A)= 7 10 , P( not B)= 3 10 and P(A B)= 3 14 , then what is P(B A) equal to?
- The probability that a missile hits a target successfully is 0.75. In order to destroy the target completely, at least three...
- Consider three sets E_1 = 1, 2, 3 , F_1 = 1, 3, 4 and G_1 = 2, 3, 4, 5 . Two elements are chosen at random, without replacement,...
- Let E, F and G be three events having probabilities P(E) = 1 8 , P(F) = 1 6 and P(G) = 1 4 , and let P(E F G) = 1 10 . For any...
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