Question

Please help me with this

Answer 1

The experimental probability of the yellow marble  is the closest to its theoretical probability

Step-by-step explanation:

Step 1 :

Total number of the marbles in the bag = 25

Number of red marbles =  5

Number of blue marbles = 7

Number of green marbles =10

Number of yellow marbles = 3

Hence the theoretical probabilities of the red, blue, green, yellow marbles are $\frac{5}{25}$ , $\frac{7}{25}$ .$\frac{10}{25}$ and $\frac{3}{25}$ respectively

Step 2 :

The experimental probability as per the given table of the red, blue, green and yellow marbles are $\frac{18}{50}$ , $\frac{10}{50}$ , $\frac{15}{50}$ , $\frac{7}{50}$

The experimental probability of the  marble which is the closest to its theoretical probability can be determined by taking the absolute difference of both the probabilities for each marble and finding which has the smallest difference.

Step 3 :

Absolute difference between the probabilities for the red marble is $\frac{8}{50}$

Absolute difference between the probabilities for the blue marble is   $\frac{6}{50}$

Absolute difference between the probabilities for the green marble is   $\frac{5}{50}$

Absolute difference between the probabilities for the yellow marble is  $\frac{1}{50}$

From the above we can observe that the difference for the yellow marble is the smallest

Step 4 :

Answer :

Hence the experimental probability of the yellow  marble  is the closest to its theoretical probability