Question

Three unbaised coins are tossed find the probability distribution of the number of heads occurring on the topmost faces.

Answer 1

Sample space of tossing of three unbiased coins = {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT}

Total out comes = $8$

No. of outcomes in which $3$ heads are there = $1$

Probability = $\frac{1}{8}$

No. of outcomes in which $2$ heads are there = $3$

Probability = $\frac{3}{8}$

No. of outcomes in which $1$ head is there = $3$

Probability = $\frac{3}{8}$

No. of outcomes in which no heads are there = $1$

Probability = $\frac{1}{8}$

Let X denotes no. of heads coming when three unbiased coins are tossed probability distribution :-

$X$ $0$ $1$ $2$ $3$

$\left(x\right)$ $1/8$ $3/8$ $3/8$ $1/8$