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PROBABILITY-2 || Quantitative Aptitude || CAT 2021 || 27 October
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Question 1
In India, 51% of the adults are males. One adult is randomly selected for a survey involving credit card usage. It is later learned that the selected survey subject was smoking a cigar. Also, 9.5% of males smoke cigars, whereas 1.7% of females smoke cigars. Find the probability that the selected subject is a male.
Question 2
Let X and Y be two events such that P(X/Y)=0.5, P(Y/X)=
and P(X∩Y)=
, then the value of P(X’∩Y’) is ____
and P(X∩Y)=, then the value of P(X’∩Y’) is ____ Question 3
If two events A and B are such that P(A’)=0.3,P(B)=0.5 and P(A∩B)=0.3 then P(B/A∪B’) is equal to__
Question 4
4 girls and 2 boys stand in a row. The probability that the number of girls ahead of every boy is at least one more than the number of boys ahead of him is ‘p’ then 5p equals:
Question 5
A coin is tossed again and again. If tail appears on first three tosses, then the chance the chance that head appears on fourth toss is
Question 6
Probability of guessing correctly atleast 7 out of 10 answers in a "True" or "False" test is = _________
Question 7
A number of 4 different digits is formed by using 1, 2, 3, 4, 5, 6, 7. Find the probability that it is divisible by 5
Question 8
An urn contains 5 balls. Two balls are drawn and are found to be white. What is the probability that all balls are white?
Question 9
A die is thrown two times and the sum of the scores appearing on the die is observed to be a multiple of 4, then the conditional probability that the score 4 has appeared at least once is:
Question 10
Three groups A, B, C are competing for positions on the Board of Directors of a company. The probabilities of their winning are 0.5, 0.3, 0.2 respectively. If the group A wins, the probability of introducing a new product is 0.7 and the corresponding probabilities for group B and C are 0.6 and 0.5 respectively. The probability that the new product will be introduced, is
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