Question

There are 8 black balls and 7 red balls in an urn. If 4 balls are...

There are 8 black balls and 7 red balls in an urn. If 4 balls are drawn without replacement, what is the probability that no more than 1 black ball is drawn? Express your answer as a fraction or a decimal number rounded to four decimal places.

Homework Answers

Answer #1

Solution:

Total number of balls = 8 + 7 = 15

Number of red balls = 8

Number of black balls = 7

4 balls are drawn without replacement.

Case (1):

0 black ball is drawn:

This implies that all 4 balls are red.

Hence, total number of ways =

Case (2):

1 black ball is drawn:

This implies that 3 balls are red and 1 balls is black.

Hence, total number of ways =

Total number of ways of drawing 4 balls from a bag of 15 balls =

Hence, probability that no more than 1 black ball is drawn =

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
There are 9 black balls and 5 red balls in an urn. If 4 balls are...
There are 9 black balls and 5 red balls in an urn. If 4 balls are drawn without replacement, what is the probability that at least 3 black balls are drawn? Express your answer as a fraction or a decimal number rounded to four decimal places.
There are 6 black balls and 5 red balls in an urn. If 4 balls are...
There are 6 black balls and 5 red balls in an urn. If 4 balls are drawn without replacement, what is the probability that exactly 2 black balls are drawn? Express your answer as a fraction or a decimal number rounded to four decimal places.
There are 5 black balls and 10 red balls in an urn. If 3 balls are...
There are 5 black balls and 10 red balls in an urn. If 3 balls are drawn without replacement, what is the probability that no black balls are drawn? Express your answer as a fraction or a decimal number rounded to four decimal places.
Urn 1 contains 7 red balls and 3 black balls. Urn 2 contains 4 red balls...
Urn 1 contains 7 red balls and 3 black balls. Urn 2 contains 4 red balls and 1 black ball. Urn 3 contains 4 red balls and 3 black balls. If an urn is selected at random and a ball is drawn, find the probability that it will be red. enter your answer as a decimal rounded to 3 decimal places
Urn 1 contains 7 red balls and 3 black balls. Urn 2 contains 1 red ball...
Urn 1 contains 7 red balls and 3 black balls. Urn 2 contains 1 red ball and 3 black balls. Urn 3 contains 3 red balls and 1 black ball. If an urn is selected at random and a ball is drawn, find the probability that it will be red. Enter your answer as a fraction in simplest form or a decimal rounded to 3 decimal places.
Urn 1 contains 4 red balls and 3 black balls. Urn 2 contains 1 red ball...
Urn 1 contains 4 red balls and 3 black balls. Urn 2 contains 1 red ball and 3 black balls. Urn 3 contains 4 red balls and 2 black balls. If an urn is selected at random and a ball is drawn, find the probability that it will be red. Enter your answer as a fraction in simplest form or a decimal rounded to 3 decimal places. P(red)=
An urn contains 4 red balls and 6 green balls. Three balls are chosen randomly from...
An urn contains 4 red balls and 6 green balls. Three balls are chosen randomly from the urn, without replacement. (a) What is the probability that all three balls are red? (Round your answer to four decimal places.) (b) Suppose that you win $50 for each red ball drawn and you lose $25 for each green ball drawn. Compute the expected value of your winnings.
An urn has 12 balls. 8 are white balls and 4 are black balls. If we...
An urn has 12 balls. 8 are white balls and 4 are black balls. If we draw a sample of 3 balls (i.e., picking without replacement) and given that the first two balls selected were a black ball and a white ball, what is the conditional probability of the third ball drawn being white?
An urn contains 3 white balls and 7 red balls. A second urn contains 7 white...
An urn contains 3 white balls and 7 red balls. A second urn contains 7 white balls and 3 red balls. An urn is selected, and the probability of selecting the first urn is 0.2. A ball is drawn from the selected urn and replaced. Then another ball is drawn and replaced from the same urn. If both balls are white, what are the following probabilities? (Round your answers to three decimal places.) (a) the probability that the urn selected...
In an urn, there are 20 balls of four colors: red, black, yellow and blue. For...
In an urn, there are 20 balls of four colors: red, black, yellow and blue. For each color, there are 5 balls and they are numbered from 1 to 5. 1) If one ball is randomly drawn from the urn, what is the probability that the randomly selected ball is red or blue? 2) If one ball is randomly drawn from the urn, what is the probability that the randomly selected ball is numbered 1 or blue?