Question

Для данного баскетболиста вероятность попадания мяча в кольцо равна 0.65. Баскетболист выполнил серию из 4 бросков. Какова вероятность того, что при этом было ровно 2 попадания?

Answer 1

1,3 вроде как я понял

Answer 2

Probability of Making Shots in Basketball

The probability of a basketball player making a shot is 0.65. The player has taken a series of 4 shots. We want to find the probability of exactly 2 shots being successful.

To solve this problem, we can use the binomial probability formula, which is given by:

$$ P(n,k) = C_{n}^k \cdot p^k \cdot (1-p)^{n-k} $$

Where: - \( n \) is the number of trials (in this case, 4 shots) - \( k \) is the number of successful trials (in this case, 2 shots) - \( p \) is the probability of success (in this case, 0.65) - \( C_{n}^k \) is the number of combinations of \( n \) things taken \( k \) at a time

Using this formula, we can calculate the probability of exactly 2 successful shots out of 4.

The probability of exactly 2 successful shots can be calculated as follows:

$$ P_4(2) = C_{4}^2 \cdot 0.65^2 \cdot (1-0.65)^{4-2} $$

Let's calculate this probability.