Question

Students will randomly select a tile from a bag containing one red, one yellow, one blue, and one green tile, and then roll a cube with faces numbered 1 through 6. What is the probability that a student draws a red or yellow tile, and rolls a number between 1 and 3.

Answer 1

1/4

Explanation:

Answer 2

`\bold{(1)/(4)}`

Explanation:

Number of red tiles = 1

Number of yellow tiles = 1

Number of blue tiles = 1

Number of green tiles = 1

Total number of tiles = 4

Also, given that there is a standard dice with faces numbered from 1 to 6.

Formula for probability of an event E can be observed as:

`P(E) = \frac{\text{Number of favorable cases}}{\text {Total number of cases}}`

First of all, let the event
`A` be event that a red or yellow tile is chosen.

Number of favorable cases = 2

Total number of cases = 4

`P(A) = (2)/(4) = (1)/(2)`

Let the event
`B` be event that a number between 1 and 3.

Number of favorable cases = 3

Total number of cases = 6

`P(B) = (3)/(6) = (1)/(2)`

`P(A\ and\ B) = P(A).P(B)`

`P(A\ and\ B) = (1)/(2).(1)/(2) = \bold{(1)/(4)}`