Q 5.77. An ordinary deck of playing card... [FREE SOLUTION]

Chapter 5: Q 5.77. (page 216)

An ordinary deck of playing cards has 52 cards. Three are four suits_ spade heart , diamond and club with 13 card in each suit. Spade and clubs are black heart and diamond are red. One of these cards is selected at random. Let R denote the event that a red is chosen . Find the probability that a red card is chosen, and express your answer in probability that a red card is chosen and express your answer in probability natation

Short Answer

Expert verified

$P (R) = \frac{1}{2}$

Step by step solution

Step 1. Given information.

There are $52$ playing cards in total, divided into four suits: spades, hearts, diamonds, and clubs, each containing $13$ cards. Spades and clubs are black, while hearts and diamonds are red.

Step 2. The chance of selecting a red card from a deck of 52 cards.

Let R represent the action of selecting a red card. There are $13$ diamond cards and $13$ heart cards in the deck. As a result, there are a total of $26$ red cards. As a result, the likelihood of picking the red card is,

$P (R) = \frac{26}{52} P (R) = \frac{1}{2}$

localid="1651209108921" $P (R) = \frac{26}{52} = \frac{1}{2}$

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Events	Description
(A & B)	Both A and B occur
	At least one of A and B occur
(A & (not B))
	Neither A nor B occur
( A or B or C
	All three A, B and C occur
	Exactly one of A, B and C occur
	Exactly two of A, B and C occur
	At most one of A, B and C occur

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Short Answer

Step by step solution

Step 1. Given information.

Step 2. The chance of selecting a red card from a deck of 52 cards.

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