Answer:
<u>The probability that a couple buys a pair of Bananas is 1/3 or 33.3%</u>
Step-by-step explanation:
Let's recall that the formula of probability is:
Probability = Number of favorable outcomes/Total number of possible outcomes
What is the probability that a couple buys a pair of Bananas?
For answering this question, we first need to calculate the probability of buying a first Banana, given that when couples come in to buy a pair of phones, sales of Apricots and Bananas are equally likely:
Probability of buying a first Banana = 1/2
Probability of buying a first Apricot = 1/2
Now, we can calculate the probability of buying a second Banana, given that the second phone is twice as likely to be a Banana rather than an Apricot.
Probability of buying a second phone = 1
Probability of buying a second Apricot = x
Probability of buying a second Banana = 2x
Solving for x, we have:
x + 2x = 1
3x = 1
x = 1/3 ⇒ 2x = 2/3
Thus, probability of buying a second Banana = 2/3
Finally,
Probability that a couple buys a pair of Bananas = Probability of buying a first Banana * Probability of buying a second Banana
Replacing with the values we know:
Probability that a couple buys a pair of Bananas = 1/2 * 2/3 = 2/6 = 1/3
1/3 = 33.3%
<u>Probability that a couple buys a pair of Bananas = 1/3 or 33.3%</u>
