Question

There are five marbles in a bag. Three are green and two are yellow. You draw a marble, do not replace it, and then draw another. What is the probability of choosing two yellow marbles

Answer 1

Answer: 1/10

Step-by-step explanation:

1: Let’s take out the “DO NOT REPLACE IT.” It can make the whole thing seem harder. Rather, here is this. “There are five marbles in a bag, 3/5 are green and 2/5 are yellow. You DRAW TWO MARBLES. What is the chance of you drawing two yellow marbles?”

2 : Now let’s look at some important information.

100% of marbles= 5 marbles.

60% of marbles= the three green marbles.

40% of marbles= the two yellow ones.

Picking 2 of the 5 marbles will mean taking 40% of the marbles out the bag.

Simplify: Now, to make it easier, the question is this. what is the chances of the 40% being the same color, Specifically yellow.

3: Let me explain. There are two yellow marbles, you pick out two. That is a one out of five chance of you getting ONE yellow marble the first time. That is 1/5. picking two at the same time results in a 2/5 chance.

4: if you pick twice it would be 1/10 chance.

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Answer 2

Answer:

1/10

Pr(2 yellows) = 1/10

Step-by-step explanation:

5 marbles total

3 green

2 yellow

Pr(yellow, and yellow) = (2/5)*(1/4) = 1/10

Pr(2 yellows) = 1/10