We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
144
3
avatar

A box contains 5 yellow balls, 3 blue, and 1 red ball. Two balls are drawn at random. Find the probability that the two balls have the same color.

 Jul 17, 2019
 #1
avatar+104756 
+2

Assuming that the balls are drawn sequentially........we can either draw two yelow balls or two blue balls

 

P( two yellow balls )  =  5/9 * 4/8  =  20/72  = 5/18

P(two blue balls) = 3/9 * 2/8  = 6/72  =  1/12

 

So.....the total probability is  5/18 + 1/12  =   [10 + 3 ] / 36  =  13 / 36

 

 

cool cool cool

 Jul 17, 2019
edited by CPhill  Jul 18, 2019
 #2
avatar
+1

Edited Chris' answer:

Assuming that the balls are drawn sequentially........we can either draw two BLUE balls or two yellow balls

 

P( two YELLOW balls )  =  5/9 * 4/8  =  20/72  = 5/18

P(two blue balls) = 3/9 * 2/8  = 6/72  =  1/12

 

So.....the total probability is  5/18 + 1/12  =   [10 + 3 ] / 36  =  13 / 36

 Jul 18, 2019
 #3
avatar+104756 
+1

OOPS!!!....thx, guest!!!....correction made

 

 

cool cool cool

CPhill  Jul 18, 2019

14 Online Users

avatar