Question

There are 3 red marbles, 6 blue marbles, 2 black marbles, and 1 green marble in a can. Find the probability for each of the following.

a. A red marble.
b. A blue or green marble.

Answer 1

The probability of drawing a red marble is 1/4, and the probability of drawing either a blue or green marble is 7/12.

Step-by-step explanation:

You are looking to find the probability of selecting marbles of specific colors from a can. To find the probability of an event, you divide the number of ways the event can occur by the total number of possible outcomes.

a. Probability of drawing a red marble:

Number of red marbles = 3
Total number of marbles = 3 + 6 + 2 + 1 = 12
Probability of drawing a red marble = Number of red marbles / Total number of marbles = 3 / 12 = 1 / 4

b. Probability of drawing a blue or green marble:

Number of blue marbles = 6
Number of green marbles = 1
Probability of drawing a blue or green marble = (Number of blue marbles + Number of green marbles) / Total number of marbles = (6 + 1) / 12 = 7 / 12