Question

task 6: find the probability of the event below. give your answer as a fraction, then convert it to a percentage. 1. a basket contains three apples, three peaches, and five pears. you randomly select a piece of fruit. what is the probability it is an apple or a peach? 2. a litter of kittens consists of two gray kittens, two black kittens, and three mixed - color kittens. you randomly pick one kitten. what is the probability the kitten is gray or mixed - color?

Explanation:

Step1: Calculate total fruit count

Total fruits = 3 apples + 3 peaches + 5 pears = $3+3+5=11$

Step2: Count favorable fruits (apple/peach)

Favorable count = 3 + 3 = $3+3=6$

Step3: Find probability as fraction

Probability = $\frac{\text{Favorable count}}{\text{Total count}} = \frac{6}{11}$

Step4: Convert to percentage

Percentage = $\frac{6}{11} \times 100 \approx 54.55\%$

Step5: Calculate total kitten count

Total kittens = 2 gray + 2 black + 3 mixed = $2+2+3=7$

Step6: Count favorable kittens (gray/mixed)

Favorable count = 2 + 3 = $2+3=5$

Step7: Find probability as fraction

Probability = $\frac{\text{Favorable count}}{\text{Total count}} = \frac{5}{7}$

Step8: Convert to percentage

Percentage = $\frac{5}{7} \times 100 \approx 71.43\%$

Answer:

1. Fraction: $\frac{6}{11}$, Percentage: $\approx 54.55\%$
2. Fraction: $\frac{5}{7}$, Percentage: $\approx 71.43\%$