Bunuel wrote:
A bag of 100 jellybeans contains cherry, licorice, and orange jellybeans. What is the probability of pulling out, without replacement, four jellybeans in the following order: cherry, orange, orange, licorice?
(1) The probability of pulling either a licorice or an orange jellybean is 4/5.
(2) The probability of pulling either a cherry or a licorice jellybean is 3/5.
Question: probability of pulling out, without replacement, four jellybeans in the following order: cherry, orange, orange, licorice?
To answer this question we need to know the exact count of each of these types
Statement 1: The probability of pulling either a licorice or an orange jellybean is 4/5.
i.e. Total licorice or an orange jellybean = (4/5)*100 = 80
i.e. Total Cherry = 100-80 = 20
NOT SUFFICIENT
Statement 2: The probability of pulling either a cherry or a licorice jellybean is 3/5.
i.e. Total licorice and cherry jellybean = (3/5)*100 = 60
i.e. Total orange = 100-60 = 40
NOT SUFFICIENT
Combining the statementsCherry = 20
Orange = 60
i.e. Licorice = 100-20-60 = 20
Required Probability = (20/100)*(60/99)*(59/98)*(20/97)
SUFFICIENT
Answer: Option C
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Bunuel wrote:
A bag of 100 jellybeans contains cherry, licorice, and orange jellybeans. What is the probability of pulling out, without replacement, four jellybeans in the following order: cherry, orange, orange, licorice?<br />
<br />
(1) The probability of pulling either a licorice or an orange jellybean is 4/5.<br />
(2) The probability of pulling either a cherry or a licorice jellybean is 3/5.<br />