Question

1. Each of the 12 cards shown has a number and a color or pattern. Each card is equally likely to be drawn. Find each probability.

a. P(striped)
b. P(even)
c. P(not polka-dot)
d. P(1, 2, 3, or 4)
e. P(solid gray or striped)

Answer 1

a) There are four cards of striped pattern, hence

`P(striped)= (4)/(12)= (1)/(3)`
b) There are twelve cards that have even numbers, hence

`P(Even)= (6)/(12)= (1)/(2)`
c) There are eight cards that aren't in polka dot pattern, hence

`P(Non-polka dot)= (8)/(12)= (4)/(6)= (2)/(3)`
d) All cards have either the number 1, 2, 3 or 4 on them, hence

`P(1,2,3, or 4)= (12)/(12)=1`
e) There are a total of eight cards that are solid grey or striped, hence

`P(solid-grey or striped)= (8)/(12)= (2)/(3)`