A bag contains 8 red marbles, 5 blue marbles and 7 green marbles. If three marbles are drawn out of the bag, what is the probability, to the nearest 1000th, that all three marbles drawn will be green?
Mathematics · College · Thu Jan 21 2021
Answered on
Formula :
Probability = Favorable outcome/Total outcome
Numbet of red marbles = 8
Numbet of blue marbles = 5
Numbet of green marbles = 7
Total = 20
So, probability of getting green marble = 7/20
Remaining marbles = 19
Remaining green marbles = 6
Now, probability of getting green again = 6/19
Remaining marbles = 18
Remaining green marbles = 5
So, probability of getting green marble again = 5/18
So, probability of getting 3 green marbles in a row = 7/20 × 6/19 × 5/18
= 210/6,840
= 0.0307