Question

Problem 10. Your backpack contains a fruit left from Sunday, that’s either an apple or an orange with equal probability. On Monday morning, before coming to school, you put an orange in your backpack (without looking inside).

• After class you get hungry, so you reach inside and grab a fruit at random, that turns out to be an orange. What’s the probability that the remaining fruit is also an orange?

• On Tuesday morning, before coming to school, you put an apple in your backpack (without looking inside). After class, you get hungry, so you reach inside and grab a fruit at random, that turns out to be an apple. What’s the probability that the remaining fruit is also an apple?

Answer 1

Answer :

Given data

number of fruits =2 (Apple & orange)

• (1). On Sunday, one is left with either an orange or an apple, and on Monday an apple is inserted.
• The sample space consists of outcomes, S:{AO, OO}.
• Therefore, the probability that remaining fruit is also orange, is P(OO)=1/2=0.5 2.

• (2). On Monday, one is left with either an orange or an apple.On tuesday, an apple is inserted.
• Therefore The sample space consists of outcomes, S:{OA, AA}.
• The probability that the remaining fruit is also an apple, is P(AA)=1/2= 0.5.