Question

В первой урне 2 белых и 3 чёрных шара,во второй урне 3 белых и 2 чёрных.Из каждой урны достали по одному шару.Какова вероятность того,что хотя бы один из двух шаров окажется белым?

Answer 1

Я думаю 5/10 или 1/2 или 0,5 - как вип больше нравится

Answer 2

Problem Analysis

We have two urns: the first urn contains 2 white and 3 black balls, and the second urn contains 3 white and 2 black balls. We are drawing one ball from each urn. We need to find the probability that at least one of the two balls drawn is white.

Solution

To find the probability, we can calculate the probability of the complementary event, which is the event that both balls drawn are black, and then subtract it from 1.

Let's calculate the probability of drawing two black balls: - The probability of drawing a black ball from the first urn is 3/5. - The probability of drawing a black ball from the second urn is 2/5. - Since the two draws are independent events, we can multiply the probabilities together.

Therefore, the probability of drawing two black balls is (3/5) * (2/5) = 6/25.

To find the probability of at least one white ball, we subtract the probability of drawing two black balls from 1: 1 - 6/25 = 19/25.

The probability that at least one of the two balls drawn is white is 19/25.

Calculation Steps

1. Calculate the probability of drawing two black balls: - Probability of drawing a black ball from the first urn: 3/5. - Probability of drawing a black ball from the second urn: 2/5. - Multiply the probabilities together: (3/5) * (2/5) = 6/25. 2. Subtract the probability of drawing two black balls from 1: 1 - 6/25 = 19/25.