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2. Suppose cards are secretly numbered 1 to 4 each have a symbol on the front and a symbol on the back: Card 1: Card 2 Card 3: Card 4: on front and on back ♡ on front and ♣ on back on front and ◇ on back on front and on back Suppose a card is chosen at random and its front is revealed. (a) Find P(◊ on back) and P(◇ on back | ♡ on front). What can you say about these two events. (b) Suppose you are given additional information that card 2 was not cho- sen. Find P(◊ on back | Card 2 was not chosen ) and P(◊ on back | ♡ on front, Card 2 was not chosen ). What can you say about these two events.

2. Suppose cards are secretly numbered 1 to 4 each have a symbol on the front and a symbol on the back: Card 1: Card 2 Card 3: Card 4: on front and on back ♡ on front and ♣ on back on front and ◇ on back on front and on back Suppose a card is chosen at random and its front is revealed. (a) Find P(◊ on back) and P(◇ on back | ♡ on front). What can you say about these two events. (b) Suppose you are given additional information that card 2 was not cho- sen. Find P(◊ on back | Card 2 was not chosen ) and P(◊ on back | ♡ on front, Card 2 was not chosen ). What can you say about these two events.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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2. Suppose cards are secretly numbered 1 to 4 each have a symbol on the front and a symbol on the back: Card 1: on front and on back Card 2 ♡ on front and ♣ on back Card 3: on front and ◇ on back Card 4: on front and on back Suppose a card is chosen at random and its front is revealed. (a) Find P(◊ on back) and P(◊ on back | ♡ on front). What can you say about these two events. (b) Suppose you are given additional information that card 2 was not cho- sen. Find P(◊ on back | Card 2 was not chosen) and P(◊ on back | ♡ on front, Card 2 was not chosen ). What can you say about these two events.
Transcribed Image Text:2. Suppose cards are secretly numbered 1 to 4 each have a symbol on the front and a symbol on the back: Card 1: on front and on back Card 2 ♡ on front and ♣ on back Card 3: on front and ◇ on back Card 4: on front and on back Suppose a card is chosen at random and its front is revealed. (a) Find P(◊ on back) and P(◊ on back | ♡ on front). What can you say about these two events. (b) Suppose you are given additional information that card 2 was not cho- sen. Find P(◊ on back | Card 2 was not chosen) and P(◊ on back | ♡ on front, Card 2 was not chosen ). What can you say about these two events.
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