Question

Four coins are tossed. Let H be the random variable representing the number of the heads occur. Find the values and construct the probability distribution of the random variable H.

Answer 1

Sample space: {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT}.

$P(H=0)=\frac{1}{8}.$

$P(H=1)=\frac{3}{8}.$

$P(H=2)=\frac{3}{8}.$

$P(H=3)=\frac{1}{8}.$