SOLUTION: A jar contains 10 marbles: 3 red, 1 blue, and 6 green. The red marbles are numbered 1-3, the blue is numbered 4, and the green are numbered 5-10. Find the probability that a marb

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: A jar contains 10 marbles: 3 red, 1 blue, and 6 green. The red marbles are numbered 1-3, the blue is numbered 4, and the green are numbered 5-10. Find the probability that a marb      Log On

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Question 181769This question is from textbook saxon algebra 2
: A jar contains 10 marbles: 3 red, 1 blue, and 6 green. The red marbles are numbered 1-3, the blue is numbered 4, and the green are numbered 5-10. Find the probability that a marble drawn from the jar is odd or green. This question is from textbook saxon algebra 2

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
The probability of drawing a marble that is odd or green (an inclusive event)is expressed by:
P(odd or green) = P(odd) + P(green) - P(odd and green) and this can be written as:
P(odd or green) = P(odd) + P(green) - P(odd)*P(green)
P(odd or green) = 5/10 + 5/10 - (5/10)*(5/10) = 1-(25/100) = 1-(1/4) = 3/4
So the probability of drawing a marble that is odd or green is 3/4 or 75%