Question

I WILL GIVE BRAINLIEST. 1/2 of the problems on a 20-question test are algebra and one-half are geometry. Determine the probability that when 10 of these problems are chosen randomly, 1/2 of them are algebra questions. Express your answer as a decimal rounded to the nearest thousandth.
Please help and explain :)

Answer 1

9514 1404 393

Answer:

  0.344

Step-by-step explanation:

There are 20C10 = 184,756 ways to choose 10 problems at random from a list of 20.

There are 10C5 = 252 ways to choose 5 of the 10 algebra problems, and the same number of ways to choose 5 of the 10 geometry problems. Then there are 252² = 63,504 ways to choose 5 problems each of algebra and geometry.

The probability of choosing 5 problems in each category is ...

  63504/184756 ≈ 0.344