Probability 1 Question 1

1. A person throws two fair dice. He wins ₹ 15 for throwing a doublet (same numbers on the two dice), wins ₹ 12 when the throw results in the sum of 9 , and loses ₹ 6 for any other outcome on the throw. Then, the expected gain/loss (in ₹) of the person is

(a) 12 gain

(b) 14 loss

(c) 12loss

(d) 2 gain

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Answer:

Correct Answer: 1. (c)

Solution:

  1. It is given that a person wins ₹15 for throwing a doublet (1,1)(2,2),(3,3), (4,4),(5,5),(6,6) and win ₹ 12 when the throw results in sum of 9 , i.e., when (3,6),(4,5),

(5,4),(6,3) occurs.

Also, losses ₹ 6 for throwing any other outcome, i.e., when any of the rest 3664=26 outcomes occurs.

Now, the expected gain/loss

=15×P (getting a doublet) +12×P (getting sum 9) 6×P (getting any of rest 26 outcome)

Math input error



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