Question

A paper grocery bag has 6 lemons, 3 limes, and 4 oranges. For each question, you willremove fruit from the bag without looking, one at a time.Find the answer to the question, and type your answer into the box as a decimalrounded to the nearest thousandth.What is the probability of removing a lemon, then a lime, with replacement?

Answer 1

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

The probability of removing a lemon is:

`p_1=(6)/(6+3+4)=(6)/(13)`

The probability of removing a lime is:

`p_2=(3)/(6+3+4)=(3)/(13)`

The events: removing a lemon, then a lime, with replacement, are independent, then the probability that one event happens after the other one is:

`p_1\cdot p_2=(6)/(13)\cdot(3)/(13)=(18)/(169)_{}=0.107`