Probability is an important topic in JEE advanced
examination. In this exam, probability carries weightage of
7% of questions. With focused practice good marks can be
fetched from this topic
.
Q1. There are only two women among 20 persons taking part in a pleasure trip. The 20 persons are divided into two group, each group consisting of 10 persons. Then the probability that the two women will be in the same group is:
Q2.A box contains tickets numbered from 1 to 20. Three tickets are drawn from the box with replacement. The probability that the largest number on the tickets is 7 is:
Q3. South African cricket captain lost the loss of coin 13 times out of 14. The chance of this happening was:
Q4. Five different marbles are placed in 5 different boxes randomly. Then the probability that exactly two boxes remain empty is (each box can any number of marbles):
Q5.A signal which can be green or red with probability4/5 and 1/5 respectively, is received by station A and then transmitted to stationB. The probability of each station receiving the signal correctly is 3/4.If the signal received at station B is green, then the probability that the original signal green is:
Q6. Let A,B,C be three mutually independent events. Consider the two statements S1 and S2 S1: A and B∪C are independent S2: A and B∩C are independent Then:
Q7. A six-faced dice is so biased that it is twice as likely to show an even number as an odd number when thrown. It is throe twice, the probability that the sum of two numbers thrown is even is:
Q8.A man alternately tosses a coin and thrown a die beginning with the coin. The probability that he gets a head in the coin before he gets a 5 or 6 in the dice is:
Q9.A student appears for tests I, II and III. The students is successful if he passes either in tests I and II or tests I and III. The probabilities of the student passing in tests I, II and III are4, respectively, p,q are ½. If the probability that the student is successful is 1/2 , then p(1+q)=: