compound events practice\ncomplete this assessment to review what youve learned. it will not count toward…

compound events practice\ncomplete this assessment to review what youve learned. it will not count toward your grade.\na basket of fruits contains 5 apples and 3 pears. sharon took two fruits at random. what is the probability that both fruits are apples? write your answer in the simplest form of fraction. (1 point)

compound events practice\ncomplete this assessment to review what youve learned. it will not count toward your grade.\na basket of fruits contains 5 apples and 3 pears. sharon took two fruits at random. what is the probability that both fruits are apples? write your answer in the simplest form of fraction. (1 point)

Answer

Answer:

$\frac{5}{14}$

Explanation:

Step1: Calculate total number of fruits

$5 + 3=8$

Step2: Calculate probability of first - fruit being apple

The probability of picking an apple first is $\frac{5}{8}$ since there are 5 apples out of 8 total fruits.

Step3: Calculate probability of second - fruit being apple

After picking one apple, there are 4 apples left and 7 total fruits left. So the probability of picking an apple second is $\frac{4}{7}$.

Step4: Calculate probability of both events

By the multiplication rule for independent events (in the case of non - replacement, sequential events), the probability that both fruits are apples is $\frac{5}{8}\times\frac{4}{7}=\frac{20}{56}=\frac{5}{14}$.