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A die is rolled twice. What is the probability of getting a sum equal to 9?
Total number of outcomes possible when a die is rolled = 6 (∵ any one face out of the 6 faces)
E = Getting a sum of 9 when the two dice fall = {(3,6), (4,5), (5,4), (6,3)}
Hunar wrote two sections of CAT paper; Verbal and QA in the same order. The probability of her passing both sections is 0.6. The probability of her passing the verbal section is 0.8. What is the probability of her passing the QA section given that she has passed the Verbal section?
A randomly selected year is containing 53 Mondays then probability that it is a leap year
The correct option is A
P(E) = (3/4 × 1/7) + (1/4 × 2/7)
P(Leap Year/ E) = (2/28) / (5/28) = 2/5
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)
A dice is thrown. What is the probability that the number shown in the dice is divisible by 3?
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
Three coins are tossed. What is the probability of getting at most two tails?
Total number of outcomes possible when a coin is tossed = 2 (∵ Head or Tail)
E = event of getting at most two Tails = {TTH, THT, HTT, THH, HTH, HHT, HHH}
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?
Total number of balls = 4 + 5 + 6 = 15
Let S be the sample space.
Let E = Event of drawing 3 balls, all of them are yellow.
[∵ ^{n}C_{r} = ^{n}C_{(}_{nr)}. So ^{5}C_{3} = ^{5}C_{2}. Applying this for the ease of calculation]
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?
Total number of balls = 2 + 3 + 2 = 7
► Let S be the sample space.
► Let E = Event of drawing 2 balls, none of them is blue.
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.
Let E = Event 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:
^{15}C_{2} × ^{10}C_{1}
Hence n(E) = ^{15}C_{2} × ^{10}C_{1}
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