#### Question

Three fair coins are tossed simultaneously. If X denotes the number of heads, find the probability distribution

of X.

#### Solution

probability of getting head

`P=1/2`

`q= 1 -1/2=1/2`

The probability distribution is as follows

x (No. of heads) | 0 | 1 | 2 | 3 |

P(x) | `3_C0(1/2)^2(1/2)^3=1/8` | `3_C_1(1/2)^1(1/2)^2=3/8` | `3_C_2(1/2)^2(1/2)=3/8` | `3_C_3(1/2)^3(1/2)^0=1/8` |

Is there an error in this question or solution?

#### APPEARS IN

Solution Three Fair Coins Are Tossed Simultaneously. If X Denotes the Number of Heads, Find the Probability Distribution of X. Concept: Random Variables and Its Probability Distributions.