Probability Question 207
Question: Let A, B, C be three mutually independent events. Consider the two statements $ S_1 $ and $ S_2 $ $ S_1:A $ and $ B\cup C $ are independent $ S_2:A $ and $ B\cap C $ are independent Then
[IIT 1994]
Options:
A) Both $ S_1 $ and $ S_2 $ are true
B) Only $ S_1 $ is true
C) Only $ S_2 $ is true
D) Neither $ S_1 $ nor $ S_2 $ is true
Show Answer
Answer:
Correct Answer: A
Solution:
$ B\cup C $ is independent of $ A, $ so $ S_1 $ is true $ B\cap C $ is also independent of $ A, $ so $ S_2 $ is true.
BETA
