In a simultaneous toss of four coins,what is | vedclass

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(C) The total number of outcomes when tossing four coins is $2^4 = 16$.Let $X$ be the number of heads obtained.We want to find the probability of gett

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$1/4$

Vedclass · Answer

(C) The total number of outcomes when tossing four coins is $2^4 = 16$.Let $X$ be the number of heads obtained.We want to find the probability of getting exactly three heads,i.e.,$P(X = 3)$.Using the binomial distribution formula $P(X = k) = {}^nC_k \cdot p^k \cdot q^{n-k}$,where $n = 4$,$k = 3$,$p = 1/2$,and $q = 1/2$:$P(X = 3) = {}^4C_3 \cdot (1/2)^3 \cdot (1/2)^1$$P(X = 3) = 4 \cdot (1/8) \cdot (1/2) = 4/16 = 1/4$.Thus,the probability is $1/4$.

In a simultaneous toss of four coins,what is the probability of getting exactly three heads?

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