Answer:
[tex]\bold{\dfrac{1}{4}}[/tex]
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:
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]
First of all, let the event [tex]A[/tex] be event that a red or yellow tile is chosen.
Number of favorable cases = 2
Total number of cases = 4
[tex]P(A) = \dfrac{2}{4} = \dfrac{1}{2}[/tex]
Let the event [tex]B[/tex] be event that a number between 1 and 3.
Number of favorable cases = 3
Total number of cases = 6
[tex]P(B) = \dfrac{3}{6} = \dfrac{1}{2}[/tex]
[tex]P(A\ and\ B) = P(A).P(B)[/tex]
[tex]P(A\ and\ B) = \dfrac{1}{2}.\dfrac{1}{2} = \bold{\dfrac{1}{4}}[/tex]
