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

15 white or gray marbles

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)=(2)/(9)`

`P(C)=(1)/(9)`

`P(B U C)=(2)/(9)+(1)/(9)=(3)/(9)=(1)/(3)`

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

`45*(1)/(3)=15` white or gray marbles

Hope this helps!