Depends on the amount of colors of buttons and each amount per color.
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probability of pulling out a purple marble = 20/85probability of NOT pulling out a purple marble = 1 - 20/85 = 65/85 = 13/17
The probability is B*G/(B+G+R)^2where B = number of Blue marbles G = number of Green marbles and R = number of marbles of other colours.
Note:In listing the contents of the marble jar, you mentioned yellow marbles twice ..."2 yellow marbles" and "1 yellow marble". We'll assume there are 3 yellow marbles.Also note:You didn't actually say that the numbers 1 through 10 are printed on the 10 sidesof the 10-sided die. We'll assume that they are.Also note:You didn't actually say that we select a marble at the same time that we toss the10-sided die. We'll assume that we're supposed to do that.Now that we've done the proof-reading and cleaned up the question, we can go aheadand answer it:The probability of rolling a 10 with the 10-sided die is 1 out of 10 = 0.1 .There are 18 marbles total in the jar, and 3 of them are yellow. The probability ofdrawing one yellow marble out of the jar is (3/18) = 1/6 .The probability of drawing 1 yellow marble and rolling a 10 on the die is(1/6) x (0.1) = 12/3%
There is a probability of 3 that it will be blue.
33% chance