Question

Consider a standard 52-card deck from which one card is randomly selected and not replaced. Then,...

  1. Consider a standard 52-card deck from which one card is randomly selected and not replaced. Then, a second card is randomly selected. Define the two events as given. Complete parts a) and b) below.

A = The first card is a club

B = The second card is a king

Are these two events mutually​ exclusive? Why or why​ not?

A.The events are not mutually exclusive. The event of selecting a club card as the first card cannot occur at the same time as selecting a king as the second card during the experiment.

B.The events are mutually exclusive. The event of selecting a club card as the first card can occur at the same time as selecting a king as the second card during the experiment.

C.The events not mutually exclusive. The event of selecting a club card as the first card cannot occur at the same time as selecting a king as the second card during the experiment.

D.The events are not mutually exclusive. The event of selecting a club card as the first card can occur at the same time as selecting a king as the second card during the experiment.

Are these two events​ independent? Why or why​ not?

A.The events are not independent. Selecting a club the first time does not influence the probability of selecting a king the second time.

B.The events are not independent. Selecting a club the first time influences the probability of selecting a king the second time.

C.The events are independent. Selecting a club the first time influences the probability of selecting a king the second time.

D.The events are independent. Selecting a club the first time does not influence the probability of selecting a king the second time.

Homework Answers

Answer #1

The given events are

The probabilities for (selection without replacement) are

These two events mutually​ exclusive since . Or the explanation is

D).The events are not mutually exclusive. The event of selecting a club card as the first card can occur at the same time as selecting a king as the second card during the experiment.

The events are independent since . Or the explanation is

D).The events are independent. Selecting a club the first time does not influence the probability of selecting a king the second time.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Consider an experiment with a standard 52-deck from which one card is randomly selected and not...
Consider an experiment with a standard 52-deck from which one card is randomly selected and not replaced. Then a second card is randomly selected. Define the following events: Event A = The first card is a heart Event B = The second card is a heart a. Are these two events mutually exclusive? Why or Why not? b. Are these two events independent? Why or why not?
Consider an experiment with a standard 52-deck from which one card is randomly selected and not...
Consider an experiment with a standard 52-deck from which one card is randomly selected and not replaced. Then a second card is randomly selected. Define the following events: Event A = The first card is a heart Event B = The second card is a heart a. Are these two events mutually exclusive? Why or Why not? b. Are these two events independent? Why or why not?
A card is randomly selected from a standard, 52-card deck. The denomination on the card is...
A card is randomly selected from a standard, 52-card deck. The denomination on the card is recorded so that the resulting sample space is {A, 2, 3, 4, 5, 6, 7, 8, 9, 10, K, Q, J}. (In other words, we ignore the suits.) (a) (5 points) Given that the card selected displays some number from 3 to 10 (inclusive), what is the probability that the value on the card is not a multiple of 4? (b) (5 points) Suppose...
1. If two cards are drawn at random in succession from a standard 52-card deck without...
1. If two cards are drawn at random in succession from a standard 52-card deck without replacement and the second card is a club card, what is the probability that the first card is king card? 2. Let A and B be two events in a sample S. Under what condition(s) is P(A l B) equal to P(B l A) ? 3. If two events A and B are mutually Exclusive. Can A and B be Independent? Why or why...
An experiment consists of randomly selecting a card from a stamdard deck of 52. Event A...
An experiment consists of randomly selecting a card from a stamdard deck of 52. Event A is defined as the event tbat the card selected is a spade. - Give an example of an event B for this experiment that such events A and B are mutually exclusive -Give an example of an event C for the experiment such that the events A and C are NOT mutually exclusive.
Two cards are chosen at random from a standard 52-card deck. Consider the events: A =...
Two cards are chosen at random from a standard 52-card deck. Consider the events: A = first card is the ace of spades B = second card is the ace of spades. Suppose the two cards are selected with replacement. i. Are the events A and B independent? Why? ii. Are the events A and B mutually exclusive? Why? Now suppose the two cards are selected without replacement. iii. Are the events A and B mutually exclusive? Why? iv. Are...
A card is to be randomly selected from an ordinary deck of 52 cards. Consider the...
A card is to be randomly selected from an ordinary deck of 52 cards. Consider the following events: A = ace, B = face card and C = club a. which pairs of events, if any, are mutually exclusive? b. find (i) P(A or B) (ii) P(A or C) (iii) P(B or C)
A standard deck of cards contains 52 cards. One card is selected from the deck. ​(a)...
A standard deck of cards contains 52 cards. One card is selected from the deck. ​(a) Compute the probability of randomly selecting a five or king. ​(b) Compute the probability of randomly selecting a five or king or queen. ​(c) Compute the probability of randomly selecting a seven or club. ​ ​(Type an integer or a decimal rounded to three decimal places as​ needed.
Consider the experiment of selecting a playing card from a deck of playing cards. Each card...
Consider the experiment of selecting a playing card from a deck of playing cards. Each card corresponds to a sample point with a probability. a. How many sample points are there in the event that a king is selected? b. How many sample points are there in the event that a spade is selected? c. How many sample points are there in the event that a face card ( jack, queen, or king) is selected? d. Find the probabilities associated...
Suppose that two cards are randomly selected from a standard? 52-card deck. (a) What is the...
Suppose that two cards are randomly selected from a standard? 52-card deck. (a) What is the probability that the first card is a club and the second card is a club if the sampling is done without? replacement? (b) What is the probability that the first card is a club and the second card is a club if the sampling is done with? replacement?