the experimental probability that a kicker will make a field goal is 90%. What is the Probability that the kicker will make his next 2 attempted field goals?

.9*.9 = .81

A football player’s probability of making a field goal from inside the 45 yd line is 0.75. A player attempts 2 field goals in a game within this distance. If X is the number of field goals made, find the probability the player made 0, 1, or 2 field goals.  (a)  Draw a tree diagram showing the possibilities for each outcome. (b)  Create the binomial distribution table for P(X).

Answer:

To find the probability that the kicker will make his next 2 attempted field goals, you can multiply the individual probabilities together.

Given that the experimental probability of the kicker making a field goal is 90%, we can say that the probability of making a field goal is 0.90 or 90% in decimal form. We assume that each attempted field goal is independent and does not affect the outcome of the other attempts.

To find the probability of making both attempts, multiply the probability of making the first attempt by the probability of making the second attempt.

P(making both attempts) = P(making first attempt) * P(making second attempt)

P(making both attempts) = 0.90 * 0.90

P(making both attempts) = 0.81

Therefore, the probability that the kicker will make his next 2 attempted field goals is 0.81 or 81%.