Question

A bag of marbles contains 7 black, 3 blue, 6 green, 5 red, and 4 yellow marbles. A student reaches into the bag and, without looking, draws out a marble. Which color of marble has the least probability of being selected?

Answer 1

Answer:

Total marbels = 7+3+6+5+4=25

Least no. of Probablity => 3/25 that is blue marbels

Answer 2

The color of marble which has the least probability of being selected is Blue.

Given: A bag of marbles contains 7 black, 3 blue, 6 green, 5 red, and 4 yellow marbles. A student reaches into the bag and, without looking, draws out a marble.

To find: The color of marble which has the least probability of being selected.

Solution:

We know,

Probability = (Number of favorable outcomes) / (Total number of possible outcomes)

Here,

We have 7 black marbles, 3 blue marbles, 6 green marbles, 5 red marbles, and 4 yellow marbles.

∴ The total number of possible outcomes = (7 black + 3 blue + 6 green + 5 red + 4 yellow) marbles = 25 marbles

Now,

Probability (black marbles) = Number of favorable outcomes/Total number of possible outcomes = 7/25

Probability (blue marbles) = Number of favorable outcomes/Total number of possible outcomes = 3/25

Probability (green marbles) = Number of favorable outcomes/Total number of possible outcomes = 6/25

Probability (red marbles) = Number of favorable outcomes/Total number of possible outcomes = 5/25 = 1/5

Probability (yellow marbles) = Number of favorable outcomes/Total number of possible outcomes = 4/25

∴ The least probability of being selected is 3/25.

Therefore, the color of marble which has the least probability of being selected is Blue.

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