Question

A bag contains 7 red marbles, 9 white marbles, and 10 blue marbles. You draw 5 marbles out at random, without replacement. What is the probability that all the marbles are red?

Answer 1

The probability of drawing all 5 red marbles is 0.0067.

Step-by-step explanation:

The probability of drawing all 5 red marbles can be calculated using the concept of probability and combinations.

The total number of marbles in the bag is 7 red + 9 white + 10 blue = 26.

When you draw the first marble, there are 7 red marbles out of 26.

When you draw the second marble, there are 6 red marbles out of 25.

This pattern continues for the third, fourth, and fifth marble.

Therefore, the probability of drawing all 5 red marbles is (7/26) * (6/25) * (5/24) * (4/23) * (3/22) = 0.0067 (rounded to 4 decimal places).