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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)=12

Step by step solution

01

Step 1. Given information. 

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

02

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 13diamond cards and 13heart cards in the deck. As a result, there are a total of 26red cards. As a result, the likelihood of picking the red card is,

P(R)=2652P(R)=12

localid="1651209108921" P(R)=2652=12

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Most popular questions from this chapter

List the three requirements for repeated trials of an experiment to constitute Bernoulli trials.

Construct a venn diagram that portrays four events A, B ,C and D that have the following properties: Events A, B and D mutually exclusive: events A,B and D are mutually exclusive: no other three of the four events are mutually exclusive

Consider the set consisting of the first 10positive whole numbers (1to10).Determine explicitly the numbers in the set satisfy each of the following conditions:

Part (a) at least 6.

Part (b) at most 3.

Part (c) between 2and 5 inclusive.

In each of Exercises 5.167-5.172, we have provided the number of trials and success probability for Bernoulli trials. LetX denote the total number of successes. Determine the required probabilities by using

(a) the binomial probability formula, Formula 5.4 on page 236. Round your probability answers to three decimal places.

(b) TableVII in AppendixA. Compare your answer here to that in part (a).

n=3,p=0.4,P(X=1)

What is the relationship between Bernoulli trials and the binomial distribution?
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