Question

A bag contains:• 3 red marbles• 2 orange marbles• 1 yellow marble• 4 green marblesRico will randomly choose a marble. Then he will put itback and randomly choose another marble. What isthe probability that he will choose a red and then anorange marble?

Answer 1

The probability is given by the following formula:

Probability = number of favorable outcomes / total number of outcomes

The total number of outcomes is 10, 3 of the initial number of marbles are red and 2 of them are orange.

The probability of getting a red marble in the first draw is:

Probability = 3/10

The probability of getting an orange marble in the second draw is:

Probability = 2/10 = 1/5

the probability that he will choose a red and then an orange marble can be calculated by multiplying the probabilities that we found, then we get:

Probability = 3/10 × 1/5 = 3/150 = 1/50

Then, the answer is 1/50