Maria had a bag that contained 2 blue marbles, 3 green marbles, 4 red marbles, 5 yellow marbles, and 6 orange marbles. Maria removed one marble without looking and she recorded the result. She then removed a second marble without replacing the first marble.
What is the probability that Maria removed a red marble followed by a yellow marble?
Answer options with 5 options
A.
StartFraction 3 over 80 EndFraction
B.
StartFraction 1 over 20 EndFraction
C.
StartFraction 1 over 19 EndFraction
D.
StartFraction 9 over 20 EndFraction
E.
StartFraction 3 over 100 EndFraction
The probability of Maria removing a red marble on her first draw is 4 out of the total 20 marbles. After removing the red marble, there are now 19 marbles left, of which 5 of them are yellow. Therefore, the probability of Maria removing a yellow marble on her second draw is 5 out of 19.
To find the probability of both events happening, we multiply the probabilities together:
Probability of red marble = 4/20
Probability of yellow marble after removing a red marble = 5/19
Probability of both events happening = (4/20) * (5/19) = 1/19
Therefore, the answer is option C: 1/19