There are 3 red marbles and 2 blue marbles placed in a box. Stan randomly picks a marble from the box and records the color. He does not replace the marble before picking a second marble. What is the probability that both marbles he picks are blue?

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jameciaalana jameciaalana · Answer 1 · 2020-12-09T20:30:28+01:00

Answer:

2/5

Step-by-step explanation:

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Anshuyadav Anshuyadav · Answer 2 · 2022-05-15T18:54:23+02:00

The probability of getting both the marbles blue is [tex]\frac{1}{10}[/tex].

Probability is the chance that something will happen, or how likely it is that an event will occur.

[tex]P(A)= \frac{Number of favorable outcomes }{Total number of outcomes}[/tex]

Where, P(A) is the probability of an event.

According to the given question

we have

3 red marbles and 2 blue marbles

total number of marbles = 3+2=5

Let A be an event of getting both marbles are bule

therefore,

probability of getting first blue marble, = [tex]\frac{2}{5}[/tex]

probability of getting second marble blue = [tex]\frac{1}{4}[/tex]

(without replacement so, only one blue marble is left, and total 4 marbles are left)

so, the probability of getting both the marbles blue P(A) = [tex]\frac{2}{5}[/tex]×[tex]\frac{1}{4}[/tex] = [tex]\frac{1}{10}[/tex]

Hence, the probability of getting both the marbles blue is [tex]\frac{1}{10}[/tex].

Learn more about probability here:

https://brainly.in/question/5372704

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