Question

Suppose that 10 fair coins are tossed. Find the numbers of ways of obtaining exactly 1 heads. Round the answer to the nearest whole number

Answer 1

Answer: 10

Explanation:

Given : Total number of coins tossed = 10

Possible outcomes to toss a coin = Head or tail

Number of possible outcomes =
`2^(10)=1024`

Number of ways of obtaining exactly 1 heads =
`{10}C_1=(10!)/(1!9!)` [using combinations
`^nC_r=(n!)/(r!(n-r)!)` ]

=10

Hence, the numbers of ways of obtaining exactly 1 heads= 10