Let five cards be drawn at random from a well shuffled standard deck of 52 cards. • Give an example of an outcome of the random experiment. • What is the total number of outcomes associated with this random experiment. • Can we safely assume that the sample space is equally likely? • In how many ways can we draw five cards so that exactly three of the five cards are spades () and one is a diamond ()? • What is the probability that exactly three of the five cards are spades and one is a diamond? • What is the probability that all five cards chosen are from one of the four suits.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Please Just answer the last 3. I have already solved the first 3. Thank you. 

Let five cards be drawn at random from a well shuffled standard deck of 52 cards.
• Give an example of an outcome of the random experiment.
• What is the total number of outcomes associated with this random experiment.
• Can we safely assume that the sample space is equally likely?
• In how many ways can we draw five cards so that exactly three of the five cards are
spades
and one is a diamond (0)?
• What is the probability that exactly three of the five cards are spades and one is a
diamond?
• What is the probability that all five cards chosen are from one of the four suits.
Transcribed Image Text:Let five cards be drawn at random from a well shuffled standard deck of 52 cards. • Give an example of an outcome of the random experiment. • What is the total number of outcomes associated with this random experiment. • Can we safely assume that the sample space is equally likely? • In how many ways can we draw five cards so that exactly three of the five cards are spades and one is a diamond (0)? • What is the probability that exactly three of the five cards are spades and one is a diamond? • What is the probability that all five cards chosen are from one of the four suits.
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