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7nadin3 [17]
3 years ago
5

I WILL GIVE BRAINLIEST. 1/2 of the problems on a 20-question test are algebra and one-half are geometry. Determine the probabili

ty 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 :)
Mathematics
1 answer:
aksik [14]3 years ago
6 0

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

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