Zared plays basketball on his high school team. One of the things he needs to practice is his free throws. On his first shot, there is a probability of 0.6 that he will make the basket. If he makes a basket, his confidence grows and the probability he makes the next shot increases by 0.05. If he misses the shot, the probability he makes the next one decreases by 0.05.
He takes 5 shots. What is the probability he makes at least 3 shots? (Hint: a tree diagram might be a helpful strategy)

Answers

Answer 1

Answer:

lol brainliest

Step-by-step explanation:

Answer 2

The probability that he makes at least 3 shots is P{E} = 0.15

What is a probability?               Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.

Given is that Zared plays basketball on his high school team. One of the things he needs to practice is his free throws. On his first shot, there is a probability of 0.6 that he will make the basket. If he makes a basket, his confidence grows and the probability he makes the next shot increases by 0.05. If he misses the shot, the probability he makes the next one decreases by 0.05.

If he takes 5 shots, than the probability that he makes at least 3 shots is-

P{E} = 5 x 0.05 - 2 x 0.05

P{E} = 0.25 - 0.1

P{E} = 0.15

Therefore, the probability that he makes at least 3 shots is P{E} = 0.15.

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