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31. Probability
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Q21 of 249 Page 31

Two dice are thrownand it is known that the first die shows a 6 Find the probability that the sum of the numbers showing on two dice is 7

Given: Two dice are thrown.


Let A be the event when the sum of the numbers = 7


Therefore, A = {(1, 6), (2, 5), (3, 4), (4, 3), (5, 2), (6, 1)}


Let B be the event when first dice shows 6


Therefore, B = {(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)}


A B = {(6, 1)}




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19

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20

A die is thrown twice, and the sum of the numbers appearing is observed to be 8 What is the conditional probability that the number 5 has appeared at least once?

22

A pair of dice is thrown. Let E be the event that the sum is greater than or equal to 10 and F be the event”5 appears of the first-die”. Find P(E/F). If F is the event”5 appears on at least one die”, find P(E/F). (same as above question)

23

The probability that a student selected at random from a class will pass in Mathematics is 4/5, and probability that he/she passes in Mathematics and Computer Science is 1/2. What is the probability that he/she will pass in Computer Science if it is known that he/she has passed in Mathematics?

Questions · 249
31. Probability
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