Question

The probability Alia wins a chess game is 0.4. Given that she plays only 5 games a week, find the probability that in any week she wins at least 2 games. *

Answer 1

0.66304

Explanation:

probability ( p ) = 0.4

number of games played ( n ) = 5

Find the Probability of winning at least 2 games

P( wining ) = 0.4.

P ( losing ) ( q ) = 1 - 0.4 = 0.6

x = 2 , 3 , 4 , 5

P ( at least 2 out of 5 ) = p( k=2) + p(k=3) + p(k=4) + p(k5 )

= 0.3456 + 0.2304 + 0.0768 + 0.01024

= 0.66304 ( using binomial distribution calculator )