2 hunters A & B shot at a bear simultaneously. The bear was shot dead with only one hole in its hide. Probability of A shooting the bear 0.8 & that of B shooting the bear is 0.4. The hide was sold for Rs. 280/-. If this sum of money is divided between A & B in a fair way, then find the share of A
Text Solution
Verified by ExpertsB
P(HA) = 0.8 ; P(HB) = 0.4. A = Only one bullet in bear.
B 1 = Shot by HA & missed by HB = P(B 1 ) = 0.8 × 0.60
B 2 = Shot by HB & missed by HA = P(B 2 ) = 0.4 × 0.2
P(B 1 /A) = 
= 
= 
= 240
E A = 280 × P(B 1 /A) E B = E – E A
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