Answered

The students are selling school pencils. If a red or green pencil is pulled from a bag, it is free. The bag contains:


5 red

10 green

15 yellow

20 blue



What is the probability that the first buyer will get a free pencil when randomly drawing one from the bag?

Verified Answer :

blue because there are more blue pencils than any other color in the bag.

X=color pencil     Red      Green      Yellow    Blue
prob                      5/50      10/50         15/50    20/50

50 is the total number of pencils
P(X=Red U X=Green) = P(X=Red) + P(X=Green)
U means union or "or"
Since they are disjoint, you can add the probabilities together.
=5/50+10/50
=15/50
=.3
=30%

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