A single die is rolled. (a) What is the probability that the number on top is a

Question

A single die is rolled. (a) What is the probability that the number on top is a 3. (Give your answer correct to two decimal places.) (b) What is the probability that the number on top is an odd number. (Give your answer correct to two decimal places.) (c) What is the probability that the number on top is a number less than 5. (Give your answer correct to two decimal places.) (d) What is the probability that the number on top is a number no greater than 3. (Give your answer correct to two decimal places.)

Explanation / Answer

The sample space corresponding to experiment of throwing a die is S= {1,2,3,4,5,6}

a) Let A : event that number on top is 3.

So, A= {3}. Here, A contains 1 sample point.

Probability (A) = 1 / 6 =0.16

b) Let B : event that number on top is odd number.

So, B= {1,3,5}. Here, B contains 3 sample points.

Probability (B) = 3 / 6 =0.5

c) Let C : event that number on top is a number less than 5.

So, C= {1,2,3,4}. Here, C contains 4 sample points.

Probability (C) = 4 / 6 =0.66

d) Let D : event that number on top is a number no greater than 3.

So, D= {1,2,3}. Here, D contains 3 sample points.

Probability (D) = 3 / 6 =0.5

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