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Let a die is loaded in such a way that p...

Let a die is loaded in such a way that prime number faces are twice as likely to occur as a non prime number faces. The probability that an odd number will be show up when die is tossed is-

A

`(1)/(3)`

B

`(2)/(3)`

C

`(4)/(9)`

D

`(5)/(9)`

Text Solution

Verified by Experts

The correct Answer is:
D
Let` " " P(2) =P(3) =P(5) =2x`
` P(1) =P(4) =P(6) =x`
Now` P(1) +P(2)+P(3)+P(4)+P(5)+P(6) =1`
`x=1/9`
P(odd number) `=x +2x+2x
=5x`
`=5/9`
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