A jar contains 5 red marbles, 3 green marbles, 2 yellow marbles, and 1 blue marbles. How do you find the probability of a green or yellow marble?

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Answer 1 · 2018-04-11T02:20:53

#=>P_"green or yellow" = 5/11#

Probability here is the chance of selection out of a total. So, we need to first find the total number of marbles.

#"total" = 5+ 3 +2+1=11#

So there are #11# marbles total. The probability that we pick one of the #3# green marbles out of the #11# is simply that ratio:

#P_"green" = 3/11#

Same idea for yellow:

#P_"yellow" = 2/11#

The probability of picking either of these colors is simply the sum of their probabilities.

#P_"green or yellow" = P_"green" + P_"yellow" = 3/11 + 2/11 = color(blue)(5/11)#