Question

A box contains 2 red marbles, 3 green marbles, and 3 blue marbles.

If we choose a marble, then another marble without putting the first one back in the box, what is the probability that the first marble will be green and the second will be blue?

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Answer 1

Answer:

This is simple,

So first we set this problem up

2 Red + 3 Blue + 7 Green = 12 Total Marbles

The formula for calculator probability is

# of favorable outcomes / # of possible outcomes

The number of favorable outcomes we have is 3 because we are trying to find the probability of pulling out a blue marble

The number of possible outcomes is 12 because we have 12 total marbles

3/12 simplifies to 1/4 which is .25

The probability of drawing a blue marble is 0.25 or 25%

Step-by-step explanation:

see also

We can assume the outcomes are equiprobable. That is, all the marbles have the same odds.

The rest is easy: when the outcomes are equiprobable, probability is calculated as the number of favorable outcomes divided by the number of possible outcomes.

Favorable outcomes: 3 blue marbles.

Possible outcomes (equiprobable): 12 marbles.

P = 3/12 = 1/4

The probability is 1/4 = 0.25

Also called 25%