a field goal kicker makes 3 of every 7 attempts at a field goal. if he kicks 3 field goals in a certain game, what is the probability that he'll make all three?
the attempts are independent so
(3/7)^3
To calculate the probability of making all three field goals, we need to know the probability of making a single field goal. From the given information, we know that the field goal kicker makes 3 successful attempts out of every 7 attempts.
So, the probability of making a single field goal is 3/7.
To find the probability of making all three field goals, we multiply the probability of making a single field goal by itself three times since each kick is an independent event (assuming the field goal kicks are independent of each other).
Let's calculate the probability using the formula:
Probability of making all three field goals = (Probability of making a single field goal) ^ (Number of attempts)
Plugging in the values:
Probability of making all three field goals = (3/7)^3
Calculating this expression gives us:
Probability of making all three field goals = 27/343
So, the probability that the kicker will make all three field goals in the game is 27/343.