# Probability

PROBLEM 6:

Roberto has a collection of 10 pairs of gloves in his wardrobe. Before a business trip, he has to pack his luggage, and he selects 8 gloves, without looking at them. We assume that any set of 8 gloves is equally likely to be chosen. Find the probability that these 8 gloves do not include any matching pair of gloves, that is, that there are no two (left and right) gloves, coming from the same pair.

(Enter an exact answer or an answer accurate to at least 3 decimal places.)

1. 👍
2. 👎
3. 👁
4. ℹ️
5. 🚩
1. probability of success for each choice:
1st glove: 20/20
2nd glove: 18/19
3rd glove: 16/18
...
8th glove: 4/13
so multiply all of those together: 384/4199 ≈ 0.09145

1. 👍
2. 👎
3. ℹ️
4. 🚩
2. The last one is 6/13

1. 👍
2. 👎
3. ℹ️
4. 🚩

1. 👍
2. 👎
3. ℹ️
4. 🚩

## Similar Questions

1. ### Math

1. What is the experimental probability of rolling a 3? A. 0.11**** B. 0.22 C. 0.30 D. 0.27 2. A quality control expert randomly samples 60 pairs of sunglasses and finds 5 defective pairs. Predict how many defective pairs will be

2. ### Math: Permutations and Combinations

For her birthday, Karla received a new wardrobe consisting of 5 shirts, 3 pairs of pants, 2 skirts, and 3 pairs of shoes for her birthday. How many new outfits can she make?

3. ### probability "Ms Sue"

Tamara likes to mix and mathc her 4 scarves, 3 pairs of gloves, and 2 hats. The colors are on the table. On Monday, she randomly picks out a scarf, hat and a pair of gloves. What is the probability of Tamara choosing a pair of

4. ### statistics

solve this math statistic problem: an insurance company insures a person's antique coin collection worth \$20,000 for an annual premium of \$300. If the company figures that the probability of the collection being stolen is 0.002,

1. ### Algebra

Roberto's science grade is calculated using a weighted average. Quizzes are worth 25%, homework is worth 10%, unit tests are worth 30%, and labs are worth 35%. Roberto earned an average of 94% on his quizzes, 99% on his homework,

2. ### math

A collection of dimes is arranged in a triangular array with 14 coins in the base row, 13 in the next, 12 in the next, and so forth. Find the value of the collection.

3. ### Math

How do I set this up and solve it? Tom has a collection of 30 CDs and Nita has a collection of 15 CDs. Tom is adding 1 CD a month to his collection while Nita is adding 4 CDs a month to her collection. Find the number of months

4. ### Math

A sneaker outlet has made the following wholesale purchases of new running shoes: 12 pairs at \$45, 18 pairs at \$40 and 20 pairs at \$50. An inventory taken last week indicates that 23 pairs are still in stock. Calculate the cost of

1. ### math

rick has a collection of 6 video games. he lets his best friend borrow 2/6 of his video game collection. write two fractions equivalent to this number. explain how you came up with the answer.

2. ### Spanish

Just checking my work :) 1. Complete the following sentence. Juan es estudioso. Le gusta a. cantar b. leer*** c. esquiar d. bailar 2. Complete the following sentence. Marisol es una chica a. simpatica*** b. simpatico c. simpaticas

3. ### English

Read the excerpt from “A Poem for My Librarian, Mrs. Long.” And Mrs. Long opened that wardrobe But no lions or witches scared me I went through Knowing there would be Spring Why does the poet most likely include this allusion

4. ### grammar..

which sentences need commas ... a) the dessert had a fluffly cream topping b) the fish was served with a rich tangy sauce c) my first job was happy rewarding experience d) Mr.Hawkins has a large collection of rare valuuable coins