Question

An urn contains 5 red balls and 5 blue balls.

​(a) If 3 balls are selected all at​ once, what is the probability that 2 are blue and 1 is​ red?

​(b) If 3 balls are selected by pulling out a​ ball, noting its​ color, and putting it back in the urn before the next​ section, what is the probability that only the first and third balls drawn are​ blue? ​

(c) If 3 balls are selected one at a time without putting them back in the​ urn, what is the probability that only the first and third balls are​ blue? ​

(a) The probability that 2 balls are blue and 1 is red is__? ​

(b) The probability is __? ​

(c) The probability is __? ​

Answer 1

A) Prob ( 2 blue and 1 drawn is blue). =5/12

B) Prob ( 3 balls drawn one at once with replacement than 1st anfld 3rd blue ) =1/8 =0.125

C) Prob ( 1st qnd 3rd boue without replacement) = 5/36 =0.139

Solution file is attached go through it

Thanks