Problem 5 A box contains 8 coins, 2 of which are counterfeit. Coins are removed from the box, one at a time, until both countefeit coins are found. Let X be the number of coins removed to find the first counterfeit one, and let Y be the number of additional coins removed to find the second counterfeit one. (a) Find the joint pmf of X and Y. (b) Find the probability that not all of the coins will be removed from the box.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 5 A box contains 8 coins, 2 of which are counterfeit. Coins
are removed from the box, one at a time, until both countefeit coins
are found. Let X be the number of coins removed to find the first
counterfeit one, and let Y be the number of additional coins removed
to find the second counterfeit one.
(a) Find the joint pmf of X andY.
(b) Find the probability that not all of the coins will be removed
from the box.
NEED TYPED ANSWER NOT HANDWRITTEN
3 LIKES FOR CORRECT ANSWER
Transcribed Image Text:Problem 5 A box contains 8 coins, 2 of which are counterfeit. Coins are removed from the box, one at a time, until both countefeit coins are found. Let X be the number of coins removed to find the first counterfeit one, and let Y be the number of additional coins removed to find the second counterfeit one. (a) Find the joint pmf of X andY. (b) Find the probability that not all of the coins will be removed from the box. NEED TYPED ANSWER NOT HANDWRITTEN 3 LIKES FOR CORRECT ANSWER
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