A bag contains 2 yellow, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?
A die is rolled twice. What is the probability of getting a sum equal to 9?
Three coins are tossed. What is the probability of getting at most two tails?
When tossing two coins once, what is the probability of heads on both the coins?
What is the probability of getting a number less than 4 when a die is rolled?
A bag contains 4 black, 5 yellow and 6 green balls. Three balls are drawn at random from the bag. What is the probability that all of them are yellow?
One card is randomly drawn from a pack of 52 cards. What is the probability that the card drawn is a face card(Jack, Queen or King)
Total number of cards, n(S) = 52
Total number of face cards, n(E) = 12
A dice is thrown. What is the probability that the number shown in the dice is divisible by 3?
Total number of outcomes possible when a die is rolled, n(S) = 6 (? 1 or 2 or 3 or 4 or 5 or 6)
E = Event that the number shown in the dice is divisible by 3 = {3, 6}
Hence, n(E) = 2
John draws a card from a pack of cards. What is the probability that the card drawn is a card of black suit?
Total number of cards, n(S) = 52
Total number of black cards, n(E) = 26
There are 15 boys and 10 girls in a class. If three students are selected at random, what is the probability that 1 girl and 2 boys are selected?
Let S be the sample space.
n(S) = Total number of ways of selecting 3 students from 25 students = 25C3
Let E = Event of selecting 1 girl and 2 boys
n(E) = Number of ways of selecting 1 girl and 2 boys
15 boys and 10 girls are there in a class.
We need to select 2 boys from 15 boys and 1 girl from 10 girls
Number of ways in which this can be done = 15C2 × 10C1
Hence n(E) = 15C2 × 10C1
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