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 :)
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 ...
