A bag contains 5 purple, 24 green, 12 yellow, and 18 gray marbles. A marble is drawn at random. What is the theoretical probabil
ity, as a decimal, of drawing a green marble? Round the decimal to the nearest hundredth.
2 answers:
p(event) = (number of ways desired outcome can happen)/(total number of outcomes)
The total number of outcomes is based on drawing any marble of any color. It is the the total number of marbles which is 5 + 24 + 12 + 18 = 59.
The desired outcome is to draw a green marble. Since there are 24 green marbles, the number of desired outcomes is 24.
p(green) = 24/59
p(green) = 0.406779...
Answer: 0.41
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