Answer:
1/30
Step-by-step explanation:
6 white marbles
5 red marbles
+ 19 marbles of other colors
-----------------------------------------------
30 marbles in total
First drawing:
p(white) = (number of white marbles)/(total number of marbles)
p(white) = 6/30 = 1/5
Second drawing:
Since the first marble is replaced, there are still 30 marbles in the bag.
p(red) = (number of red marbles)/(total number of marbles)
p(red) = 5/30 = 1/6
The two drawings are independent events, so the overall probability of the two events is the product of the individual probabilities.
p(white then red) = p(white) × p(red)
p(white then red) = 1/5 × 1/6
p(white then red) = 1/30
