Consider a experimant of Picking Three Cards at randomelenstreaiseguence from a standard deck of 52 Cards,
Consider a experimant of Picking Three Cards at randomelenstreaiseguence from a standard deck of 52 Cards,
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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Step 1
Note: Hello! Thanks for the question. There is no information about the type of selection (with replacement or without replacement). Hence, we are providing the solution for both the cases
From the given information,
Three cards are selected at random from a deck of 52 cards.
Let Ai be the event that the ith card is red for .
In the deck of 52 cards, there are 26 red cards and 26 black cards.
Case 1: With replacement:
1)
The probability that all three cards are red is,
Step 2
2)
3)
Here, the happing of selecting first red ball does not affect the happening of selecting second red ball because the selections are done by with replacement.
Hence, the selections are independent.
That is, the events A1 and A2 are independent.
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