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Mario is practicing ice hockey. He usually makes 7 out of 12 shots. What is the probability that mario will NOT make either of his next 2 shots?​

Sagot :

Answer:

the probability is 25/144 or about 0.174

Step-by-step explanation:

his chance of not getting the shot is 5/12, so multiply 5/12×5/12 to get the chance of him missing both.

oladayoademosu

Mario usually makes 7 out of 12 shots, the probability that mario will NOT make either of his next 2 shots is 25/144

To solve the problem, let us define probability

What is probability?

This is the likelihood of an event. Probability is given mathematically as P(event) = no of required outcomes/total number of outcomes

Probability that Mario makes no shot.

Since Mario makes 7 out of 12 shots, the probability that he makes a shot is P(shot) = 7/12. The probability that he makes no shot is

P(no shot) = 1 - P(shot)

= 1 - 7/12

= 5/12

Probability that mario will NOT make either of his next 2 shots

Since Mario's shots are independent events, the probability of his first shot does not affect that of the second. So, the probability that Mario will not make either ofhis next 2 shots is

P(no 2 shot) = P(no first shot) × P(no second shot)

= P(no shot) × P(no shot)

= 5/12 × 5/12

= 25/144

So, since Mario is practicing ice hockey and usually makes 7 out of 12 shots, the probability that mario will NOT make either of his next 2 shots is 25/144

Learn more about probability here:

https://brainly.com/question/25839839

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