Question

a basket contains five apples and seven peaches. nikkiem selects an apple, puts it back, and then selects another apple. dennis selects an apple, eats it, then selects another. who is less likely to select an apple then another apple? select the person who is correct, and the probability statement that proves it. dennis is less likely nikkiem is less likely because 15% < 17% because 15% > 17% both have the same likelihood

Explanation:

Step1: Calculate Dennis's probability

The total number of fruits is $5 + 7=12$. Dennis eats the first - selected apple, so for the second - selection, there are 4 apples and 11 total fruits left. The probability that Dennis selects an apple the second time is $\frac{4}{11}\approx 0.364 = 36.4\%$.

Step2: Calculate Nikkiem's probability

Nikkiem puts the first - selected apple back. So for the second - selection, there are still 5 apples and 12 total fruits. The probability that Nikkiem selects an apple the second time is $\frac{5}{12}\approx 0.417 = 41.7\%$.

Step3: Compare probabilities

Since $36.4\%<41.7\%$, Dennis is less likely to select an apple the second time.

Answer:

Dennis is less likely