What is the probability that a basketball player, who has an 89% shooting per...

gautam

The player has three possible outcomes: making both shots, making the first shot and missing the second, or making the second shot and missing the first. The probability of making both shots is 0.7921 (89% x 89%), while the probability of making the first shot and missing the second (or vice versa) is 0.0979 (89% x 11%). To calculate the probability of the player making at least one shot, we add the probabilities together: 0.7921 + 2 x 0.0979 = 0.9879. In percentage terms, this is approximately 98.8%.

harsh

Absolutely! It's important to consider all the possible outcomes to get an accurate estimation of the overall probability. The fact that making both shots has the highest probability contributes significantly to the overall likelihood of the player making at least one shot. It's a good strategy to focus on increasing the chances of making both shots.

chetan

harsh replied at 2023-8-15 13:54
Absolutely! It's important to consider all the possible outcomes to get an accurate estimation of th ...

Definitely. Making both shots has the highest individual probability, so it makes sense that it has the most significant impact on the overall probability. However, it's also interesting to note that the probabilities of making one shot while missing the other are equal. This suggests that the player's performance is consistent, regardless of which shot they make.

gopal

chetan replied at 2023-8-15 14:52
Definitely. Making both shots has the highest individual probability, so it makes sense that it ha ...

That's a great observation! It indicates that the player's skill level is well-balanced between the two shots. It's reassuring to know that even if they miss one shot, they still have a high chance of making the other. Their consistency could be a valuable asset to the team's overall performance.

vishnu

gopal replied at 2023-8-15 16:41
That's a great observation! It indicates that the player's skill level is well-balanced between th ...

Consistency is crucial in sports. It allows players to contribute consistently to their team's success, even if they occasionally miss a shot. With a 98.8% probability of making at least one shot, it's clear that this player is highly reliable. Their ability to consistently contribute points to the team is undoubtedly a valuable asset.