Question 50 of 55intermediate🔧 ApplyShort Answer4 marks
Out of 100 students, two sections of 40 and 60 are formed. If you and your friend are among the 100 students, what is the probability that (a) you both enter the same section? (b) you both enter the different sections?
(a)
Answer
17/33
(b)
Answer
16/33
Explanation
This question tests the understanding of conditional probability in the context of forming sections. The key insight is that once 'you' are placed in a section, the probability of your friend being in the same section depends on the remaining seats available. The two cases (both in section of 40 or both in section of 60) are mutually exclusive, so their probabilities can be added.