If A and B simultaneously toss one coin each, | vedclass

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(A) When two coins are tossed,the sample space is $S = \{(H, H), (H, T), (T, H), (T, T)\}$.There are $4$ possible outcomes.The event of getting a tail

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$\left(\frac{3}{4}\right)^{50}$

Vedclass · Answer

(A) When two coins are tossed,the sample space is $S = \{(H, H), (H, T), (T, H), (T, T)\}$.There are $4$ possible outcomes.The event of getting a tail on both coins is $(T, T)$,which has a probability of $\frac{1}{4}$.The probability of $NOT$ getting a tail on both coins in a single toss is $1 - \frac{1}{4} = \frac{3}{4}$.Since the coins are tossed $50$ times independently,the probability of not getting a tail on both coins in all $50$ tosses is $\left(\frac{3}{4}\right)^{50}$.

If $A$ and $B$ simultaneously toss one coin each,$50$ times,then the probability of not getting a tail on both the coins in any single toss is:

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