Question

A bag contains 25 balls numbered 1 through 25. Suppose an odd number is considered a ‘Success’. Two balls are drawn from the bag with replacement. Find the probability of getting a. Two successes b. exactly one success c. at least one success d. no successes

Answer 1

Step-by-step explanation:

Given A bag contains 25 balls numbered 1 through 25. Suppose an odd number is considered a ‘Success’. Two balls are drawn from the bag with replacement. Find the probability of getting a. Two successes b. exactly one success c. at least one success d. no successes

• We have  odd numbers from 1 to 25 will be 1,3,5,7,9,11,13,15,17,19,21,23,25
• Now from 1 to 25 there are 13 odd and 12 even numbers.
• So P (two successes) = 13/25 x 13/25
•                                   = 169 / 625
• So P(exactly one success) = 13/25 x 12/25 + 12/25 x 13/25
•                                           = 156 /625 + 156/625
•                                          = 312 / 625
• So P (at least one success) = 1 – P (no success)
•                                            = 1 – 12/25 x 12/25
•                                             = 1 - 144/625
•                                               = 481 / 625
• So P (No success) = 12/25 x 12/25
•                               = 144 / 625

Reference link will be

https://brainly.in/question/21369591