There are n types of coupons. We collect coupons one-by-one.
Each coupon collected is of type...
70.2K
Verified Solution
Link Copied!
Question
Advance Math
There are n types of coupons. We collect coupons one-by-one.Each coupon collected is of type i with probability pi P , andindependent of other coupons. Assume that n i=1 pi = 1. Suppose intotal k coupons are collected. Define Ai to be the event that thereis at least one type i coupon among those collected for i = 1, 2, ·· · , n.
(a) Compute P(Ai)
(b) For any i 6= j, find P(Ai ? Aj )
(c) Compute P(Ai |Aj ), hint: use formula about P(A ? B) = . ..
Answer & Explanation
Solved by verified expert
4.3 Ratings (715 Votes)
a Since Ai is the event that there is atleast onetype i coupon among those collected henceAic is the event that there is notype i coupon among those collectedThe probability that the first coupon collected is not of type i is1piThe probability that the second coupon collected is not of type iis 1piThe probability
See Answer
Get Answers to Unlimited Questions
Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!
Membership Benefits:
Unlimited Question Access with detailed Answers
Zin AI - 3 Million Words
10 Dall-E 3 Images
20 Plot Generations
Conversation with Dialogue Memory
No Ads, Ever!
Access to Our Best AI Platform: Zin AI - Your personal assistant for all your inquiries!
