Answered

Dive into the world of knowledge and get your queries resolved at IDNLearn.com. Get comprehensive answers to all your questions from our network of experienced experts.

This season, the probability that the Yankees will win a game is 0.57 and the probability that the Yankees will score 5 or more runs in a game is 0.59. The probability that the Yankees lose and score fewer than 5 runs is 0.3. What is the probability that the Yankees will lose when they score 5 or more runs? Round your answer to the nearest thousandth.​

Sagot :

Millerlauren88idn

Answer:0.226 = 22.6% probability that the Yankees will lose when they score 5 or more runs

Step-by-step explanation:

Conditional probability:

We use the conditional probability formula to solve this question. It is

In which

P(B|A) is the probability of event B happening, given that A happened.

is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

If the Yankees score 5 or more runs, either they win, or they lose. The sum of these probabilities is 1.

Probability that the Yankees win:

Event A: Scoring 5 or more runs.

Event B: Winning

The probability that the Yankees will score 5 or more runs in a game is 0.53.

This means that

The probability that the Yankees win and score 5 or more runs is 0.41.

This means that

So

0.774 probability that the Yankees will win when they score 5 or more runs

What is the probability that the Yankees will lose when they score 5 or more runs?

p + 0.774 = 1

p = 1 - 0.774

p = 0.226

0.226 = 22.6% probability that the Yankees will lose when they score 5 or more runs

Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! Your questions find answers at IDNLearn.com. Thanks for visiting, and come back for more accurate and reliable solutions.