Question

A bag of marbles contains blue (B), red (R), yellow (Y), and green (G) marbles. A marble is drawn from the bag, recorded, and then placed back in the bag. Estimate the probability the next marble is NOT red. R Y G BO 0.75 O 0.25 O 0.50 O 0.33

Answer 1

Probability that next marble is not red is 0.75

Solution:

Given that bag of marbles contains blue (B), red (R), yellow (Y), and green (G) marbles.

A marble is drawn from the bag, recorded, and then placed back in the bag. To find:  the probability the next marble is NOT red

The probability of an event is given as:

$probability =\frac{\text { number of favorable outcomes }}{\text { total number of possible outcomes }}$

Let us first find the probability of getting red marble

Total number of possible outcomes = blue + red + yellow + green

Total number of possible outcomes = 4

Favorable outcome = getting red marble

Number of favorable outcomes = 1

$P(R) = \frac{1}{4}$

Finding probability that next marble is NOT red:

P( NOT R) = 1 - P(R)

$\text{ P( NOT R) } = 1 - \frac{1}{4} = \frac{4 - 1}{4} = \frac{3}{4} = 0.75$

Thus probability that next marble is not red is 0.75