two fair dice are rolled simultaniously. let A= sum of two number is 9,B = sumof two number greater than 8.find 1) P(A) and P(B) 2) P(AnB) & (AuB) 3)P(A/B) 4)check whether A & B are independent
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Explanation:
total no. of cases=36
A---total favorable conditions =4
P(A)=4/36=1/9
B---total favorable cases=10
P(B)=10/36=5/18
now P(AnB)=4/36=1/9
P(AuB)=10/36=5/18
now P(A/B)=P(AnB)/P(B)=2/5
now if P(AnB)=P(A)×P(B) then A and B are independent otherwise not
so we get P(AnB) is not equal to P(A)×P(B)
so A and B are not independent
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