The odds against a certain event is 5 : 2 and | vedclass

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Question

(b) Let $A$ and $B$ be two given events.

The odds against $A$ are $5:2$, therefore $P(A) = \frac{2}{7}$.

The odds in favour of $B$ are $6:5$, th

Vedclass · Accepted Answer

$\frac{{52}}{{77}}$

Vedclass · Answer

(b) Let $A$ and $B$ be two given events.

The odds against $A$ are $5:2$, therefore $P(A) = \frac{2}{7}$.

The odds in favour of $B$ are $6:5$, therefore $P(B) = \frac{6}{{11}}.$

The required probability $ = 1 - P(\bar A)\,P(\bar B)$

$ = 1 - \left( {1 - \frac{2}{7}} \right)\,\left( {1 - \frac{6}{{11}}} \right) = \frac{{52}}{{77}}.$

The odds against a certain event is $5 : 2$ and the odds in favour of another event is $6 : 5$. If both the events are independent, then the probability that at least one of the events will happen is

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