Question
A fair coin is tossed 3 times. ‘A’ wins if exactly one
tail appears. Otherwise, ‘B’ wins. What is the probability that ‘A’ wins?Solution
Total number of outcomes = 2 3 = 8
Favourable outcomes: HTT, THT, TTH = 3
Probability that ‘A’ wins = 3/8
If n(A) = 25, n(B) = 40 and n(A ∪ B) = 50, then n(A ∩ B) equals
A bag contains cards numbered between 33 and 102. If one card is drawn from the bag, the probability that the number on the drawn card is a perfect squa...
If from a pack of 52 playing cards, 1 card is drawn at random. What is the probability that it is either a King, Queen or a Jack?
There are thirty balls in my cupboard in complete disarray. Ten are black, ten are red and ten are brown, but I cannot distinguish the colors in the dar...
A box contains 6 red balls, 4 blue balls and 2 yellow balls. Two balls are picked at random. What is the probability that both balls are of the same color?
In a group of artists, there are 10 dancers and 8 singers. If four artists are to be selected at random, what is the probability that 2 dancers and 2 si...
A bag contains 20 white and some black balls. If the probability of drawing a black ball from the bag is 2.5 times that of drawing a white ball, ...
Atul and Bhuvan play a game where each is asked to select a number from 1 to 9. If the two numbers same, both win a prize. The probability that they wil...
Roger Federer play 3 sets of a tennis match. The probability of his winning the three sets are 1/9,1/4,3/4 respectively. What is the probability that he...
A bag contains 20 white and some black balls. If the probability of drawing a black ball from the bag is 6.25 times that of drawing a white ball, find t...
Relevant for Exams:
