A and B toss a fair coin each simultaneously | vedclass

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(A) For each toss,there are $4$ possible outcomes for $A$ and $B$ together: $(H, H), (T, H), (H, T), (T, T)$.Since the coins are fair,each outcome has

Vedclass · Accepted Answer

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

Vedclass · Answer

(A) For each toss,there are $4$ possible outcomes for $A$ and $B$ together: $(H, H), (T, H), (H, T), (T, T)$.Since the coins are fair,each outcome has a probability of $\frac{1}{4}$.The event that both do not get a tail at the same toss means we exclude the outcome $(T, T)$.Thus,for a single toss,there are $3$ favorable outcomes: $(H, H), (T, H), (H, T)$.The probability of not getting a tail at the same time in a single toss is $P = \frac{3}{4}$.Since they toss the coins $50$ times independently,the probability that this happens in all $50$ tosses is $(\frac{3}{4})^{50}$.

$A$ and $B$ toss a fair coin each simultaneously $50$ times. The probability that both of them will not get tail at the same toss is

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