Question

One pen is chosen without looking from a bag that has 3 blue pens, 6 red, and 3 green. Find the probability of each event. Write each answer as a fraction, a decimal, and a percent. 2. P(green) 3. P(blue or red) 4. P(not red)

Answer 1

Answer:

A). Fraction-1/4 , decimal-0.25 , percentage-25%

B). Decimal-0.75 , fraction = 3/4 , percentage = 75%

C). As decimal, 0.5, as fraction 1/2 and as percentage 50%

Step-by-step explanation:

In this question, we are asked to calculate some probabilities and report answers as decimals, fractions and percentages.

We proceed as follows. Firstly, we need to know the total number of elements in our sample space. We get the answer to this question by adding the number of all the pens together.

This is mathematically equal to 3 + 6+ 3 = 12 pens. Let’s now answer each of the said probabilities.

(A). P(Green) = number of green pens/ Total number of pens = 3/12 = 1/4 = 0.25

Fraction-1/4 , decimal-0.25 , percentage-25%

(B) P(blue or red)

P(B) = 3/12 = 1/4

P(R) = 6/12 = 1/2

P(Blue or Red) = 1/4 + 1/2 = 3/4

Decimal-0.75 , fraction = 3/4 , percentage = 75%

(C) Probability of not red. That is the same as the probability of either Green or Blue.

We have same number of Blue and green Pen. This means they have equal probabilities = 3/12 = 1/4

We add the two probabilities and that gives 1/4 + 1/4 = 2/4 = 1/2

As decimal, 0.5, as fraction 1/2 and as percentage 50%