Question

Eight balls numbered 1 to 8 are placed in a bag. Some of the balls are...

Eight balls numbered

1

to

8

are placed in a bag.
Some of the balls are grey and some are white.
The balls numbered

3

,

4

, and

6

are grey. The balls numbered

1

,

2

,

5

,

7

, and

8

are white.

A ball will be selected from the bag at random.
The

8

possible outcomes are listed below.
Note that each outcome has the same probability.

1

2

3

4

5

6

7

8

Complete parts (a) through (c). Write the probabilities as fractions.

(a) Check the outcomes for each event below. Then, enter the probability of the event.

Outcomes Probability
1 2 3 4 5 6 7 8
Event A: The selected ball has an odd number on it
Event B: The selected ball is grey
Event A or B: The selected ball has an odd number on it or is grey
Event A and B: The selected ball has an odd number on it and is grey

(b) Compute the following.

P(A)+P(B)−P(A and B)=

(c) Select the answer that makes the equation true.

P(A)+P(B)-P(A and B)=

Homework Answers

Answer #1

ANSWER:

NOTE:: I HOPE YOUR HAPPY WITH MY ANSWER....***PLEASE SUPPORT ME WITH YOUR RATING...

***PLEASE GIVE ME "LIKE"...ITS VERY IMPORTANT FOR ME NOW....PLEASE SUPPORT ME ....THANK YOU

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
Eight balls numbered 1 to 8 are placed in a bag. Some of the balls are...
Eight balls numbered 1 to 8 are placed in a bag. Some of the balls are grey and some are white. The balls numbered 3 , 4 , and 6 are grey. The balls numbered 1 , 2 , 5 , 7 , and 8 are white. A ball will be selected from the bag at random. The 8 possible outcomes are listed below. Note that each outcome has the same probability. 1 2 3 4 5 6 7 8...
A marble is selected from a bag containing eight marbles numbered 1 to 8 . The...
A marble is selected from a bag containing eight marbles numbered 1 to 8 . The number on the marble selected will be recorded as the outcome. Consider the following events. Event A : The marble selected has an odd number. Event B : The marble selected has a number greater than 3 . Give the outcomes for each of the following events. If there is more than one element in the set, separate them with commas. (a) Event"AorB": (b)...
A jar contains five red balls numbered 1 to 5, and seven green balls numbered 1...
A jar contains five red balls numbered 1 to 5, and seven green balls numbered 1 to 7. A ball is drawn at random from the jar. Find the following conditional probabilities. (Enter your probabilities as fractions.) (a) The ball is red, given that it is numbered 1. - answer 1/2 (b) The ball is green, given that it is numbered 7. - answer 1 Don't know the answer for: (c) The ball is red, given that it has an...
Assume you have a group of ten ping-pong balls numbered from 1-10. Let us define some...
Assume you have a group of ten ping-pong balls numbered from 1-10. Let us define some events as follows: Event A: A randomly selected ball has an odd number on it Event B: A randomly selected ball has a multiple of 3 on it Event C: A randomly selected ball has either a 5 or 8 on it Answer the following questions related to probability of the above described events for a SINGLE trial: a. P(A) = (Remember this is...
In the pool, there are 8 white balls numbered 1 to 8 and 4 black balls...
In the pool, there are 8 white balls numbered 1 to 8 and 4 black balls numbered 1 to 4. We draw 3 balls without returning them to the pool. What is the probability that: (a) there is (exactly) 1 black ball among the drawn balls? (b) all drawn balls have even numbers?
Two balls are drawn from a bag containing 4 white balls and 3 red balls. If...
Two balls are drawn from a bag containing 4 white balls and 3 red balls. If the first ball is replaced before the second is drawn, what is the probability that the following will occur? (Enter your probabilities as fractions.) (a) both balls are red (b) both balls are white (c) the first ball is red and the second is white (d) one of the balls is black A die is thrown twice. What is the probability that a 2...
A bag contains 6 red balls and 7 white balls. Two balls are drawn without replacement....
A bag contains 6 red balls and 7 white balls. Two balls are drawn without replacement. (Enter your probabilities as fractions.) (a) What is the probability that the second ball is white, given that the first ball is red? (b) What is the probability that the second ball is red, given that the first ball is white? (c) Answer part (a) if the first ball is replaced before the second is drawn.
A bag contains 7 red balls and 5 white balls. Two balls are drawn without replacement....
A bag contains 7 red balls and 5 white balls. Two balls are drawn without replacement. (Enter your probabilities as fractions.) (a) What is the probability that the second ball is white, given that the first ball is red? (b) What is the probability that the second ball is red, given that the first ball is white? (c) Answer part (a) if the first ball is replaced before the second is drawn.
A bag contains three balls numbered 1, 2, and 3. Two balls are sampled with replacement....
A bag contains three balls numbered 1, 2, and 3. Two balls are sampled with replacement. Let X1 be the number on the first ball sampled and let X2 be the number on the second ball sampled. Find the probability mass function of the sample mean (X1 + X2)/2.
Two balls are drawn from a bag containing 5 white balls and 7 red balls. If...
Two balls are drawn from a bag containing 5 white balls and 7 red balls. If the first ball is replaced before the second is drawn, what is the probability that the following will occur? (Enter your probabilities as fractions.) (a) both balls are red (b) both balls are white (c) the first ball is red and the second is white (d) one of the balls is black