Question

There are six cats and seven dogs in the local animal shelter. Four animals are chosen at random to visit a local school to educate the children on the great need for homes for these animals. a- What is the probability that exactly two of the animals are cats? b- What is the probability that at least one cat is chosen?

Name: there are six cats and seven dogs in the local animal shelter four animals are chosen at random to visit a local school to educate the children on the great need for homes for these animals 78944
Uploaded: 2022-08-20T17:23:56-08:00
Duration: 2 min 26 s
Channel: David Nguyen
Description: there are six cats and seven dogs in the local animal shelter four animals are chosen at random to visit a local school to educate the children on the great need for homes for these animals 78944

          There are six cats and seven dogs in the local animal shelter. Four animals are chosen at random to visit a local school to educate the children on the great need for homes for these animals. 
a- What is the probability that exactly two of the animals are cats?
b- What is the probability that at least one cat is chosen?

Added by Noah G.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert David Nguyen

08/20/2022

Step 1

- Total number of ways to choose 4 animals out of 13 (6 cats + 7 dogs): ${13 \choose 4} = 715$ - Number of ways to choose 2 cats out of 6 and 2 dogs out of 7: ${6 \choose 2} \times {7 \choose 2} = 15 \times 21 = 315$ - Probability = Number of favorable outcomes / Show more…

Show all steps

Thanks for your feedback!

There are six cats and seven dogs in the local animal shelter. Four animals are chosen at random to visit a local school to educate the children on the great need for homes for these animals. a- What is the probability that exactly two of the animals are cats? b- What is the probability that at least one cat is chosen?