SOLUTION: To determine the activity for a physical education class, the teacher asks a student to randomly choose a card from 1 of 2 boxes. Box A contains 3 badminton cards and 5 volleyball
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Question 1107174: To determine the activity for a physical education class, the teacher asks a student to randomly choose a card from 1 of 2 boxes. Box A contains 3 badminton cards and 5 volleyball cards. Box B contains 2 badminton cards and 6 volleyball cards. If there is an equal probability that the student will reach into either box, what is the probability the volleyball card will be drawn? Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! The first is (1/2) probability chooses box A and 5/8 probability so 5/16 overall.
The second is (1/2) chooses B, and (6/8) for volleyball so 3/8 probability overall.
The sum of 5/16 and 3/8 is 11/16 probability overall.
In this instance it is like drawing from a box of both cards, and that would be 11/16 probability of pulling out a volleyball card.