Question

A bag of marbles contains 3 yellow, 6 blue, 1 green, 8 red, 2 orange. Find the probability: P(yellow, then orange WITHOUT replacement)

Answer 1

P(yellow, then orange WITHOUT replacement) = 0.0158

Explanation:

A probability is the number of desired outcomes divided by the number of total outcomes

This problem asks:

The probability of first getting a yellow marble, then an orange marble, without replacemtn.

Yellow marble first:

3 yellow marbles out of 3+6+1+8+2 = 20 marbles.

So P(a) = 3/20.

Then the orange marble:

Now the yellow marble is retired.

2 orange marbles out of 19.

So P(b) = 2/19

Probability:

P(yellow, then orange WITHOUT replacement) = P(a)P(b) = (3/20)*(2/19) = 0.0158