The probability of Andrew's team winning any given game in a 5-game series is 0.3. What is the probability that Andrew's team will win exactly 2 games in the series?
1) (.3)^2(.7)^3
2) 5(.3)^3(.7)^2
3) 10(.3)^2(.7)^3
4) 5(.3)^2(.7)

Question

The probability of Andrew's team winning any given game in a 5-game series is 0.3. What is the probability that Andrew's team will win exactly 2 games in the series?
1) (.3)^2(.7)^3
2) 5(.3)^3(.7)^2
3) 10(.3)^2(.7)^3
4) 5(.3)^2(.7)

anonymous · Answer

as consistent to binomial distribution.

anonymous · Answer

sorry the answer is 3 I will show you why

anonymous · Answer

5 choose 2 which is 10 
$$5!/2!(5-2)! \times 0.3^2\times0.7^3 = 10 \times 0.3^2 \times 0.7^3$$