A box contains exactly five chips, three red and two white. Chips are randomly removed one at a time without replacement until all the red chips are drawn or all the white chips are drawn. What is the probability that the last chip drawn is white ?

1. 👍
2. 👎
3. 👁
1. number of ways that the 3 reds and the 2 whites
can be arranged = 5!/(3!2!) = 10

Now place a white at the end, then the number of ways to arrange the remaining 4 is 4!/(2!2!) = 6

so prob that the last one will be white = 6/10 = 3/5

1. 👍
2. 👎
2. thank you very much. can u help me for other quistion pleasee

1. 👍
2. 👎

## Similar Questions

1. ### stats

Buckley Farms produces homemade potato chips that it sells in bags labeled 16 ounces. The total weight of each bag follows an approximately normal distribution with a mean of 16.15 ounces and a standard deviation of 0.12 ounces.

2. ### Math Probabilities

A bag contains 9 red chips and 12 blue chips. Two chips are selected randomly without replacement from the bag. What is the probability that the two chips are the same color? That would be the probability of two reds PLUS the

3. ### math

an urn contains 40 red chips and sixty white chips. six chips are drawn out and discarded, and a seventh is drawn. what is the probability that the seventh chip is red?

4. ### math

There are 5 blue chips, 4 red chips and 3 yellow chips in a bag. One chip is drawn from the bag. That chip is placed back into the bag, and a second chip is drawn. What is the probability that the two selected chips are of

1. ### stats

Buckley Farms ships its chips in boxes that contain 6 bags. The empty boxes have a mean weight of 10 ounces and a standard deviation of 0.05 ounces. Calculate the mean and standard deviation of the total weight of a box containing

2. ### statistics

The amount of corn chips dispensed into a 16-ounce bag by the dispensing machine has been identified at possessing a normal distribution with a mean of 16.5 ounces and a standard deviation of 0.1 ounce. Suppose 400 bags of chips

a jar contains 4 white chips, 5 purple chips and 1 black chip. chips are selected randomly one at at time and are not replaced. What is the probability of choosing a purple then black chip?

4. ### Probability

Two chips are draw simultaneously from an urn containing 10 chips numbered from 1 to 10. What is the probability that one of the numbers on the chips is even, and the other is odd?

1. ### statistics

Urn I and Urn II each have 2 red chips and 2 white chips. Two chips are drawn simultaneously from each urn. Let X1 be the number of red chips in the first sample and X2 the number of red chips in the second sample. Find the pdf of

2. ### chem

why do we add boiling chips or boiling stones before the distillation starts? Boiling chips should never be added to a hot solution!Why? i don't know what the answer is to the first one, but as for the second i think i have a

3. ### math

For every 7 blue chips there are 3 red chips. In a pile of 320 blue and red chips, there are ___ more blue chips than red chips.

4. ### math

a bag of chips weigh eight ounces how many bags of chips weigh 12 pounds