Question

if the probability that the islanders will beat the rangers in a game is 0.44,what is the probability that the islanders will win exactly one out of four games in a series against the rangers? ​

Answer 1

Answer: 0.309 that’s for the delta math one

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Explanation:

Answer 2

30.91% probability that the islanders will win exactly one out of four games in a series against the rangers

Explanation:

For each game, there are only two possible outcomes. Either the Islanders win, or they do not. The probability of the Islanders winning a game is independent of other games. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

`P(X = x) = C_(n,x).p^(x).(1-p)^(n-x)`

In which
`C_(n,x)` is the number of different combinations of x objects from a set of n elements, given by the following formula.

`C_(n,x) = (n!)/(x!(n-x)!)`

And p is the probability of X happening.

The probability that the islanders will beat the rangers in a game is 0.44

This means that
`p = 0.44`

What is the probability that the islanders will win exactly one out of four games in a series against the rangers? ​

This is P(X = 1) when n = 4. Then

`P(X = x) = C_(n,x).p^(x).(1-p)^(n-x)`

`P(X = 1) = C_(4,1).(0.44)^(1).(0.56)^(3) = 0.3091`

30.91% probability that the islanders will win exactly one out of four games in a series against the rangers