Kui suur on maksimaalne tõenäosus välja tõmmata valge pall juhuslikult valitud korvist?

The maximum probability of drawing a white ball from a randomly selected basket depends on the distribution of white and black balls in each basket and on how the basket is chosen.

If the basket is chosen randomly with equal probability, then the probability of drawing a white ball is the arithmetic mean of the probabilities of a white ball in each basket.

To maximize this probability, you should choose the basket in which the ratio of white balls to the total number of balls is the highest.

For example, if there are several baskets with different amounts of white and black balls:

• Basket 1: 3 white, 2 black (probability of white = 3/5 = 0.6)
• Basket 2: 5 white, 5 black (0.5)
• Basket 3: 2 white, 1 black (2/3 ≈ 0.666)

The maximum probability of drawing a white ball from a randomly selected basket is the highest value among the probabilities, which is 0.666 (from basket 3).

If the baskets are chosen randomly with equal probability, the final probability is the average, but the maximum probability of drawing a white ball from a specific basket is the maximum ratio of white balls to the total in that basket.

Therefore, the maximum probability is the maximum ratio of white balls to the total in a basket.