five balls are drawn with replacement from a box containing 5 white and 4 black balls. find the probability of getting 3 white balls
Answers
Answered by
0
Answer:
5C3/9C3 answer is 84/10
Answered by
0
10 / 84
A permutation is the process of putting things or numbers in a certain order. Combinations are a method of picking things or numbers from a set of objects or a collection without regard for their order.
The box contains 5 white balls and 4 black balls. That is a total of 9 balls.
Thus, the whole set will be selecting 3 balls from 9 balls which is 9C3
Now, there are 5 white balls and we are replacing after drawing each. Thus that still leaves 5 white balls during each draw. That is 5C3.
Thus, the probability of getting 3 white balls = 5C3 / 9C3
= 5!/3!(5-3)! / 9!/3!(9-3)!
= 10/84
Similar questions