Carcass wrote:
A hat contains 12 cards marked with a star and 18 unmarked cards. What is the probability that one card selected at random will be marked with a star?
A. 2/5
B. 3/5
C. 2/3
D. 3/2
E. 5/2
We can solve this by applying the general probability formula:
P(event A occurs) = (# of outcomes where event A occurs)/(total # of outcomes)So, P(marked card) = (
# of outcomes in which we get a marked card)/(
total # of outcomes)
There are
12 marked cards. So, there are
12 possible outcomes in which we get a marked card
There are
30 cards altogether (12 marked + 18 unmarked = 30 in total). So, there are
30 possible outcomes.
So, P(marked card) =
12/
30= 2/5
Answer: A