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Question

A fair die is tossed repeatedly until a six is obtained. Let X denote the number of tosses required. The probability that X3 equals


A

125216

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B

2536

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C

536

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D

25216

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Solution

The correct option is B

2536


Explanation for correct option:

Step 1: Define possible outcomes:

Possible outcomes of throwing a die ={1,2,3,4,5,6}

A fair die is tossed repeatedly until a six is obtained

Sample space =6,1,6,2,6,3,6,4,6,5,6,1,1,6,1,2,6...........

Step 2: Calculate the probability that X3:

As we know,

P1+P2+P3+P4+.....+P=1PX3=1-P1+P2PX3=1-16+1656PX3=1-1136PX3=2536

Hence, Option(B) is the correct answer.


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