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

Answer:

$\bold{\dfrac{1}{4}}$

Step-by-step 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:

$P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}$

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

$P(A) = \dfrac{2}{4} = \dfrac{1}{2}$

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

Number of favorable cases = 3

Total number of cases = 6

$P(B) = \dfrac{3}{6} = \dfrac{1}{2}$

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

$P(A\ and\ B) = \dfrac{1}{2}.\dfrac{1}{2} = \bold{\dfrac{1}{4}}$

Answer 2

Answer:

1/4

Step-by-step explanation: