Question

a bag contains 10 red marbles, 15 yellow marbles,5 green marbles, and 20 blue marbles. two marbles are drawn from the bag. which expression represents the probability that one of the marbles is red and the other is blue?

Answer 1

The probability of drawing one red marble and one blue marble from the bag is 4/49.

Step-by-step explanation:

The probability of drawing one red marble and one blue marble from the bag can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes. The number of favorable outcomes is calculated by multiplying the number of red marbles (10) by the number of blue marbles (20), which gives us 200 possible outcomes.

The total number of possible outcomes is calculated by multiplying the total number of marbles (50) by one less than the total number of marbles (49), which gives us 2450. Therefore, the probability of drawing one red marble and one blue marble is 200/2450, which simplifies to 8/98 or 4/49.