Can someone please explain this to me I'm having a hard time solving it I don't get it. Thanks
Suppose a basketball player is an excellent free throw shooter and makes 91% of his free throws (i.e.,he has a 91% free chance of making a single free throw). Assume that free throw shots are independent of one another. Suppose this player shoots five free throws. Find the probability that he makes all five throw.
can anyone pretty please help me
If the probability of making 1 free throw is 91%, the probability of making 5 out of 5 is (91%)^5, or 62.4%
Thanks
If a basketball player consistently shoots 80% from the free throw line and she takes 25 free throw shots throughout the course of a game, how many free throws can she be expected to make?
To find the probability that the player makes all five free throws, we can use the concept of independent events and the multiplication rule.
The probability of making one free throw is given as 91%, which can be written as 0.91 or 91/100. Since the free throw shots are assumed to be independent of each other, the success of one shot does not affect the success of the other shots.
To find the probability of making all five free throws, we need to multiply the probabilities of making each individual throw.
P(making all five throws) = P(making first throw) * P(making second throw) * P(making third throw) * P(making fourth throw) * P(making fifth throw)
P(making all five throws) = (0.91) * (0.91) * (0.91) * (0.91) * (0.91)
Calculating the value gives us:
P(making all five throws) = 0.91^5
So, the probability that the player makes all five free throws is approximately 0.62403, or 62.403%.