Question

В коробке 8 красных и 4 синих карандаша. Оттуда случайно было взято три карандаша. Какова вероятность , что попадется 2 красных и 1 синий?

Answer 1

12/5=2.2/5 (2 целых две пятых)

Answer 2

Calculating the Probability of Drawing 2 Red and 1 Blue Pencil from the Box

To calculate the probability of drawing 2 red and 1 blue pencil from the box, we can use the concept of combinations and probability.

Total Number of Ways to Draw 3 Pencils The total number of ways to draw 3 pencils from the box of 8 red and 4 blue pencils can be calculated using the combination formula: nCr = n! / (r! * (n-r)!) where n is the total number of items, r is the number of items to be chosen, and ! denotes factorial.

Number of Ways to Draw 2 Red and 1 Blue Pencil The number of ways to draw 2 red and 1 blue pencil can also be calculated using the combination formula.

Calculating the Probability The probability of drawing 2 red and 1 blue pencil can be calculated by dividing the number of ways to draw 2 red and 1 blue pencil by the total number of ways to draw 3 pencils.

Let's calculate the probability using the given information.

The total number of ways to draw 3 pencils from the box: 8 red pencils + 4 blue pencils = 12 pencils

The number of ways to draw 2 red and 1 blue pencil: 8 red pencils choose 2 * 4 blue pencils choose 1

The probability can be calculated as: Probability = (Number of ways to draw 2 red and 1 blue pencil) / (Total number of ways to draw 3 pencils)

Let's calculate the probability.