5 red marbles, 6 white marbles, 5 blue marbles. Draw 2 marbles, 1 at a time, without replacement. Find P(red and blue)

Mathematics · College · Thu Feb 04 2021

Answered on

Given :

Number of red marbles = 5

Number of white marbles = 6

Number of blue marbles = 5

Total marbles = 5 + 6 + 5 = 16 

Probability = favorable outcome/Total outcome 

P(red) = 5/16

P(blue) = 5/15

= 1/3

So, P (red and blue) = 5/16 × 1/3

= 5/48

 

Thus, probability of drawing red and blue marbles without replacement is 5/48