Question

Yuto has a bag containing 3 red marbles, 5 blue marbles, 2 green marbles, and 8 yellow marbles. Rin reaches into the bag, pulls out a blue marble, and puts it in her pocket. Then Misaki reaches in and pulls out a marble. What is the total number of possible outcomes for Misaki’s marble?

Answer 1

So she starts out with a total of 3+5+2+8 = 18 marbles, 5 of which are blue.  After she pulls the 1st marble, the total marbles drops to 17 and now only 4 are blue. So her outcomes for the next pull could be...

red-     3/17 = 17.6% chance
blue-    4/17 = 23.5% chance
green   2/17 = 11.8% chance
yellow  8/17 =  47.1% chance

Answer 2

The total number of possible outcomes for Misaki’s marble will be

red-     3/17 = 17.6% chance

blue-    4/17 = 23.5% chance

green   2/17 = 11.8% chance

yellow  8/17 =  47.1% chance

What is probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

So she starts out with a total of 3+5+2+8 = 18 marbles, 5 of which are blue.  After she pulls the 1st marble, the total marble drops to 17 and now only 4 are blue. So her outcomes for the next pull could be...

red        =   3/17 = 17.6% chance

blue      =   4/17 = 23.5% chance

green    =  2/17 = 11.8% chance

yellow   =  8/17 =  47.1% chance

Therefore the total number of possible outcomes for Misaki’s marble will be a red 17.6% chance v 23.5% chance green 11.8% chance yellow 47.1% chance.

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