Question

A bag contains tickets numbered 1 through 5. Use the probability distribution to determine the probability of drawing an odd numbered ticket.

The probability of drawing an odd numbered ticket is __ %

Answer 1

The probability of drawing an odd numbered ticket is 60%.

Explanation:

Odd numbered tickets:

Probability of one is 1/5 plus half of 1/5.

`P(X = 1) = (1)/(5) + (1)/(10) = (3)/(10)`

Probability of 3 is half of 1/5.

`P(X = 3) = (1)/(10)`

Probability of 5 is 1/5. So

`P(X = 5) = (1)/(5)`

Probability of drawing an odd numbered ticket:

`p = P(X = 1) + P(X = 3) + P(X = 5) = (3)/(10) + (1)/(10) + (1)/(5) = (4)/(10) + (2)/(10) = (6)/(10) = 0.6`

0.6*100% = 60%

The probability of drawing an odd numbered ticket is 60%.