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Ashley is choosing a popsicle from the freezer at random the probability of her picking a grape popsicle is 3/8 the probability of her picking a cherry popsicle is 1/3 in the rest of the Popsicles are orange what is the likelihood of Ashley selecting an orange popsicle

2 Answers

4 votes

Answer:

Explanation:

User Pzulw
by
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2 votes

If an experiment has
N possible outputs, each with probability


P_1,\ P_2,\ldots,\ P_N

then the sum of all probabilities is always one:


P_1 + P_2 + \ldots + P_N=1

So, in your case, you have


P(\text{grape}) + P(\text{cherry}) + P(\text{orange}) = 1

plugging in the given values:


(3)/(8) + (1)/(3) + P(\text{orange}) = 1 \iff (17)/(24) + P(\text{orange}) = 1

we can deduce that


P(\text{orange}) = 1-(17)/(24) = (7)/(24)

User Chetan J Rao
by
5.6k points