Face : | 1 | 2 | 3 | 4 | 5 | 6 |
Probability : | 0.1 | 0.24 | 0.19 | 0.18 | 0.15 | 0.14 |
A) 0.25
B) 0.42
C) 0.75
D) 0.9
Correct Answer: C
Solution :
Let \[A\] be the event that even face turns up and \[B\] be the event that it is 2 or 4. Then\[P(A)=P(2)+P(4)+P(6)=0.24+0.18+0.14=0.56\] \[P(B)=P(2)+P(4)=0.24+0.18=0.42\] So, \[P(B/A)=\frac{P(B\cap A)}{P(A)}=\frac{P(B)}{P(A)}=\frac{0.42}{0.56}=0.75\].You need to login to perform this action.
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