A jar of lollipop has 15 lollipops in it with five each of grape cherry and blue raspberry if Dwayne and John both want to lollipop what is the probability that they will both get their favorite color of grape

With probability questions that involve more than one pick, remember to account for the already picked item by removing the possibility of getting that item along with the total possibilities. In this problem, we must find the probability that Dwayne will pick a grape lollipop, and multiply it by the probability that John will pick a grape lollipop.

Solving:

[tex]\section* {Probability that Dwayne Gets a Grape Lollipop:}\[P(\text{Dwayne gets a grape lollipop}) = \frac{\text{Number of grape lollipops}}{\text{Total number of lollipops}} = \frac{5}{15} = \boxed{\frac{1}{3}}\][/tex]

[tex]\section*{Probability for John to get a Grape Lollipop:}\[P(\text{John gets a grape lollipop}) = \frac{4}{14} = \boxed{\frac{2}{7}}\][/tex]

[tex]\section*{Combined Probability:}\\\[P(\text{Both get a grape lollipop}) = \frac{1}{3} \times \frac{2}{7} = \boxed{\frac{2}{21}}\][/tex]

Therefore, the probability that Dwayne and John both get a grape lollipop is 2/21.