Binomial Distribution Example

• n = 3, k = 2, p = 0.9

• ( n! / [ ( n - k )! * k! ] ) * pk * ( 1 - p )( n - k )

• ( 3! / [ ( 3 - 2 )! * 2! ] ) * 0.92 * 0.1( 3 - 2 )

• ( 3! / [ 1! * 2! ] ) * 0.92 * 0.1

• 3 * 0.9 * 0.9 * 0.1 = 0.243 (or 24.3%)

• For a fair coin it would be 0.375 (or 37.5%)

• Biased coin, 3 heads: 1 * 0.93 * 0.10 = 72.9%