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Question

A fair die is thrown. The probability of not rolling a factor of 4 is .

A
12
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B
13
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C
14
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Solution

The correct option is A 12
On rolling a fair die, the number of possible outcomes is 6.

The numbers on the die that are factors of 4 are 1,2 and 4.

On rolling a factor of 4, the number of favorable outcomes is 3.

Now,
P(rolling a factor of 4)=Number of numbers on die which are factor of 4Total number of numbers on die

P(rolling a factor of 4)=36=3×13×2=12

P(not rolling a factor of 4) = 1 - P(rolling a factor of 4)

P(not rolling a factor of 4)=112

P(not rolling a factor of 4)=2212

P(not rolling a factor of 4)=212=12

The probability of not rolling a factor of 4 on a fair die is 12.


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