Respuesta :
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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Probability helps us to know the chances of an event occurring. The probability of choosing two yellow marbles is 0.10.
What is Probability?
Probability helps us to know the chances of an event occurring.
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
Given that there are 5 marbles in the bag, three being green and two being yellow. The probability of choosing the first marble as yellow is,
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
[tex]\rm Probability (1^{st}\ yellow)= \dfrac{2}{5}[/tex]
Since the sample space is reduced the marble in the bag is 4, three being green and 1 being yellow, therefore, the probability of the second marble being yellow is,
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
[tex]\rm Probability (2^{nd}\ yellow)= \dfrac{1}{4}[/tex]
Now, the probability of both marble being yellow in the two trials is,
[tex]\rm Probability (2 yellow) = \dfrac25 \times \dfrac14 = \dfrac{1}{10}=0.10[/tex]
Hence, the probability of choosing two yellow marbles is 0.10.
Learn more about Probability:
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