Question

К концу дня в палатке осталось 60 арбузов, из которых 50 спелые. Покупатель выбирает 2 арбуза. Какова вероятность того, что оба арбуза спелые?

Answer 1

P(A)=m/n,
Где m- число благоприятных событию А исходов, n- число всех возможных исходов.
50/60=0,8

Answer 2

Probability of Selecting Two Ripe Watermelons

To calculate the probability of selecting two ripe watermelons from the remaining 60, with 50 of them being ripe, we can use the concept of conditional probability.

Step 1: Calculate the Probability of Selecting the First Ripe Watermelon The probability of the first watermelon being ripe can be calculated as the ratio of ripe watermelons to the total number of watermelons.

The probability of selecting a ripe watermelon as the first pick is: \[ P(\text{first pick is ripe}) = \frac{\text{Number of ripe watermelons}}{\text{Total number of watermelons}} = \frac{50}{60} \]

Step 2: Calculate the Probability of Selecting the Second Ripe Watermelon After the first ripe watermelon is picked, the total number of watermelons decreases by 1, and the number of ripe watermelons decreases by 1.

The probability of selecting a ripe watermelon as the second pick, given that the first pick was ripe, is: \[ P(\text{second pick is ripe} | \text{first pick is ripe}) = \frac{\text{Number of ripe watermelons after the first pick}}{\text{Total number of watermelons after the first pick}} = \frac{49}{59} \]

Step 3: Calculate the Overall Probability The overall probability of selecting two ripe watermelons can be calculated by multiplying the individual probabilities of the two picks.

\[ P(\text{both picks are ripe}) = P(\text{first pick is ripe}) \times P(\text{second pick is ripe} | \text{first pick is ripe}) \]

Calculation

\[ P(\text{both picks are ripe}) = \frac{50}{60} \times \frac{49}{59} \]

Let's calculate the overall probability.