Joyce has made 8 of her last 12 free throws. What is the probability that she will make her next two free throw shots?
2/3 * 2/3 = 4/9
To find the probability that Joyce will make her next two free throw shots, we need to use the given information about her previous shots.
We know that Joyce has made 8 out of her last 12 free throws. This means she has been successful in making 8 shots out of total 12 shots attempted.
To find the probability that Joyce makes her next two shots, we need to know the probability of making a single shot. We can calculate this by dividing the successful shots (8) by the total shots attempted (12):
P(making a single shot) = successful shots / total shots attempted
P(making a single shot) = 8 / 12 = 2/3
Now, assuming each shot is independent of the other, we can multiply the probabilities of making two consecutive shots to find the probability of making both shots:
P(making both shots) = P(making a single shot) * P(making a single shot)
P(making both shots) = (2/3) * (2/3) = 4/9
Therefore, the probability that Joyce will make her next two free throw shots is 4/9 or approximately 0.4444.