question archive Jasmine Robbins wants to open an independent coffee shop in a town that already has 9 coffee shops: 3 Mocha Moose, 2 Elkhorn Coffee, and 4 Morning JoJo
Jasmine Robbins wants to open an independent coffee shop in a town that already has 9 coffee shops: 3 Mocha Moose, 2 Elkhorn Coffee, and 4 Morning JoJo
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Jasmine Robbins wants to open an independent coffee shop in a town that already has 9 coffee shops: 3 Mocha Moose, 2 Elkhorn Coffee, and 4 Morning JoJo. She is trying to determine the probability of choices that potential customers may make. Here is one of her questions: If a person selects one shop at random to purchase coffee, find the probability that it is either a Mocha Moose or a Morning JoJo. Explain your answer.
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Answer:
Probability that it is either a Mocha Moose or a Morning JoJo is 7/9 or 0.7778
Step-by-step explanation
Total number of coffee shops = 9
Number of Mocha Moose = 3
Number of Morning JoJo = 4
Using mutually exclusive events formula
P(Mocha Moose or Morning JoJo) = P(Mocha Moose) + P(Morning JoJo)
= (Number of Mocha Moose)/(Total number of coffee shops) + (Number of Morning JoJo)/(Total number of coffee shops)
= 3/9 + 4/9
= 7/9
= 0.7778 (4 decimals)
