Question

A bag contains 5 yellows tickets numbered 1 through 5. The bag also contains 5 green tickets numbers 1 to five. You randomly pick a ticket. It is green or has a number greater than 4. Find the probability of tbhs occuring

Answer 1

`(3)/(5)` or 0.6

Explanation:

Given:

Number of yellow tickets = 5

Number of green tickets = 5

Total number of tickets = 5 + 5 = 10

Required:

Find the probability that a randomly picked ticket is green or has a number greater than 4

Use the formula:

P = probability of green tickets + probability of yellow tickets with numbers greater than 4

Yellow tickets with numbers greater than 4 = 1 ticket

Probability of picking a green ticket =
`(5)/(10) = (1)/(2)`

Probability of picking a yellow ticket with number greater than 4 =
`(1)/(10)`

Therefore, probability that a randomly picked ticket is green or has a number greater than 4

=
`(1)/(2) + (1)/(10) = (6)/(10)`

`= (3)/(5)`

Probability that a randomly picked ticket is green or has a number greater than 4 =
`(3)/(5)` or 0.6