Answered

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

Verified Answer :

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:

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!