Mathematics: Hi Can anyone help with this?

Hi Can anyone help with this? - id14570517, haydenbell269

amourrrblackkkk

04.03.2022

$\dfrac{1}{4}$

Step-by-step explanation:

It is given that a bag has 1 red marble, 4 blue marbles, and 3 green marbles.

Total number of marbles in the bag = 1 + 4 + 3 = 8

Let A be the event of getting blue marble.

Probability of getting blue marble is

$P(A)=\dfrac{\text{Number of blue marbles}}{\text{Total number of marbles}}$

$P(A)=\dfrac{4}{8}$

$P(A)=\dfrac{1}{2}$

Peter replaces first marble, and then draws another marble randomly. So, the events of drawing any marble is independent of other events.

The probability of getting second blue marble is 1/2.

The probability of drawing 2 blue marbles in a row is

$P(A)\times P(A)=\dfrac{1}{2}\times \dfrac{1}{2}=\dfrac{1}{4}$

Therefore, the probability of drawing 2 blue marbles in a row is 1/4.

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