Question

a bag contains 6 red marbles, 2 white marbles, and 1 gray marble. you randomly pick out a marble, record its color, and put it back in the bag. you repeat this process 45 times. how many white or gray marbles do you expect to get

Answer 1

since gray and white make up 1/3 of the bag, (2+1+6=9 ; 2+1=3 ; 3/9=1/3) then then the answer would be 1/3 of 45, which is 15

Answer 2

Answer:

15 white or gray marbles

Step-by-step explanation:

Be

A = 6 red marbles

B = 2 white marbles

C = 1 gray marble

R = 45 process repetition

T = 6 + 2 + 1 = 9 Total marbles

P (B U C) = Possibility of obtaining white or gray marbles once

The probability of an event is calculated by dividing the number of successes by the total possibilities, in this case that is

$P(B)=\frac{2}{9}$

$P(C)=\frac{1}{9}$

$P(B U C)=\frac{2}{9}+\frac{1}{9}=\frac{3}{9}=\frac{1}{3}$

As the process is repeated 45 times, the possibility of obtaining white or gray marbles is the multiplication of

$45*\frac{1}{3}=15$ white or gray marbles

Hope this helps!