Answer:
P(yellow, then orange WITHOUT replacement) = 0.0158
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes
This problem asks:
The probability of first getting a yellow marble, then an orange marble, without replacemtn.
Yellow marble first:
3 yellow marbles out of 3+6+1+8+2 = 20 marbles.
So P(a) = 3/20.
Then the orange marble:
Now the yellow marble is retired.
2 orange marbles out of 19.
So P(b) = 2/19
Probability:
P(yellow, then orange WITHOUT replacement) = P(a)P(b) = (3/20)*(2/19) = 0.0158
