# College Math

posted by .

A bucket contains orange tennis balls and yellow tennis balls from which 5 balls are selected at random, but assume that the bucket contains 7 orange balls and 6 yellow balls.

(1) What is the probability that, of the 5 balls selected at random, at least one is orange and at least one is yellow?

(2) What is the probability that, of the 5 balls selected at random, at least two are orange and at least two are yellow?

• College Math -

(1) From 1, subtract the probability that none are yellow and the probability that none are orange. Every other possibility has one or more of both.
All orange probability = (7/13)(6/12)(5/11)(4/10)(3/9) = 0.0163
All yellow probability = (6/13)(5/12)(4/11)(3/10)(2/9) = 0.0047
1-0.0163-0.0047 = 0.979

(2) See what you can do using a similiar method.

• College Math -

Thanks! I am still working on the second part.. and having a difficult time... but I am sure I will eventually figure it out. :)

• College Math (2) -

From one, subtract the probabilities of:
(1) zero or one orange, (2) zero or two yellow and (3) one orange and one yellow.
Zero orange (all yellow):0.0047
Zero yellow (all orange):0.0163
One orange (4 yellow)): 5x(6/13)(5/12)(4/11)(3/10)(7/9)= 0.08159
One yellow (4 orange): 5*(7/13)(6/12)(5/11)(4/10)(6/9)= 0.1632
1-0.0047-0.0163-0.0816-0.1632 = 0.8974

## Similar Questions

1. ### statistics

Two urns each contain yellow balls and black balls. Urn 1 contains 2 yellow balls and 6 black balls. urn2 contains 2 yellow balls and 5 black balls. A ball is drawn from each urn. What is the probability that both balls are yellow?
2. ### Math

Four balls are simultaneously picked at random from a jar containing 2 red balls, 2 green balls, and 6 yellow balls. What is the probability that exactly two of the selected balls will be red?
3. ### Math

A bucket contains blue balls and yellow balls. the probability of removing two blue balls without replacement is 2/5 and he probability of removing three blue balls without replacement is 1/5. Why must there be two more blue balls …
4. ### Math

A box containing 20 yellow balls, 9 red balls and 6 blue balls. If the balls are selected at random, what is the smallest number of balls that need to be selected so you will select at least two balls of each colour
5. ### statistics

A jar contains 2 red balls, 2 blue balls, 2 green balls and 1 orange ball. Balls are randomly selected, without replacement, until 2 of the same colour are obtained. Calculate the probability that more than 3 balls must be selected.
6. ### MATH

A bucket contains 5 green tennis balls and 2 yellow tennis balls. Tony removes 2 tennis balls, with replacement, from the bucket shown. What is the probability that Tony will choose a yellow tennis ball and then a green tennis ball?
7. ### MATHS

A bucket contains 5 green tennis balls, 2 yellow tennis balls, and 6 red tennis balls. Tony removes 3 tennis balls,with replacement, from the bucket shown. What is the probability that the first tennis ball is yellow, the second tennis …
8. ### MATH

Tony has a bucket filled with 10 green, 3 blue, 1 red, and 7 yellow tennis balls. He removes 4 tennis balls from the bucket, without replacement. Which of the following outcomes could represent this selection?
9. ### maths

Tony has a bucket filled with 10 green, 3 blue, 1 red, and 7 yellow tennis balls. He removes 4 tennis balls from the bucket, without replacement. Which of the following outcomes could represent this selection?
10. ### statistics

A jar contains 2 red balls, 2 blue balls, 2 green balls and 1 orange ball. Balls are randomly selected, without replacement, until 2 of the same colour are obtained. Calculate the probability that more than 3 balls must be selected.

More Similar Questions