Question

A fair die is rolled and a card is drawn at random. a) what is the...

A fair die is rolled and a card is drawn at random.

a) what is the probability that the die is even and the card is a club?

b) what is the probability that the die is even or the card is a club?

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

There, are 13 club cards in deck of 52 cards.

Therefore, P(club) = 13/52 = 1/4

There, are 3 even numbers when we rolled a fair die.

Therefore, P(even) = 3/6 = 1/2

a)

P(even AND club) = P(even) * P(club) = 1/2 * 1/4 = 1/8 = 0.125

Therefore, the probability that the die is even and the card is a club is 1/8 = 0.125

b)

P(even OR club

= P(even) + P(club) - P(even AND club)

= 1/2 + 1/4 - 1/8

= 6/8 - 1/8

= 5/8

= 0.625

Therefore, the probability that the die is even or the card is a club is, 5/8 = 0.625

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A die is rolled and a card is drawn from a standard 52 card deck. What...
A die is rolled and a card is drawn from a standard 52 card deck. What is the possibility that a black ace, or a queen card will be drawn and either a 4 or 5 will be rolled?
A fair die is rolled repeatedly. Let X be the random variable for the number of...
A fair die is rolled repeatedly. Let X be the random variable for the number of times a fair die is rolled before a six appears. Find E[X].
A fair 4-sided die and a fair 6-sided die will be rolled. A) Give the sample...
A fair 4-sided die and a fair 6-sided die will be rolled. A) Give the sample space. B) What is the probability the sum is 9? C) What are the chances that the sum is 4, or the 4 sided die comes up a 3?
20) A card is drawn from a deck and then replaced. Then a second card is...
20) A card is drawn from a deck and then replaced. Then a second card is drawn. find the probability of getting an ace both times. 21) A coin is tossed and then a die is rolled. Find the probabilty of getting a 5 on the die given that the coin landed tails up.
a fair die is rolled 8 times what is the probability that not more that 2...
a fair die is rolled 8 times what is the probability that not more that 2 sixes come up.
1. Two distinct fair dice are rolled at the same time and the number of dots...
1. Two distinct fair dice are rolled at the same time and the number of dots appearing on both are counted. Find the probability that this sum is ( Show your Work) A.) 3 or 10 B.) at least 4 2. A card is selected from an ordinary deck of 52 cards. What is the probability of getting (page 158) (show your work) A.) a 3 and a club B.) a 3 and a 4 C.) a club or a...
1) A fair die is rolled 10 times. Find an expression for the probability that at...
1) A fair die is rolled 10 times. Find an expression for the probability that at least 3 rolls of the die end up with 5 dots on top. 2) What is the expected number of dots that show on the top of two fair dice when they are rolled?
Question 3: Consider the following experiment: A ball is drawn from an urn containing 2 red...
Question 3: Consider the following experiment: A ball is drawn from an urn containing 2 red balls, 2 white balls and 4 blue balls. If the ball drawn is white, a fair coin is flipped and the outcome is recorded. If the ball is blue, a card is drawn from a standard (52 card) deck and the suit (club ♣, diamond ♦, heart ♥ and spade ♠, present in equal proportions in the deck) is recorded. If the ball is...
Suppose 5 fair die are rolled simultaneously? What is the probability that at least three of...
Suppose 5 fair die are rolled simultaneously? What is the probability that at least three of the dice show the same number? Please include detailed steps and explanation
1. (a) An experiment consists of selecting a card at random from a 52-card deck. Refer...
1. (a) An experiment consists of selecting a card at random from a 52-card deck. Refer to this experiment and find the probability of the event. (Enter your answer as a fraction.) A heart or a queen is drawn. (b) A pair of dice is rolled, and the number that appears uppermost on each die is observed. Refer to this experiment and find the probability of the given event. (Enter your answer as a fraction.) One die shows a 4,...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT