Question

In a​ survey, 400 people were asked to choose one card out of five cards labeled 1 to 5. The results are shown in the table. Compare the theoretical probability and experimental probability of choosing a card with the number 2.

Cards Chosen
Number- 1 2 3 4 5
Frequency- 128 96 48 112 16

The theoretical probability of choosing a card with the number 2 is ?%
The experimental probability of choosing a card with the number 2 is ?%
The theoretical probability is ( < > = ) the experimental probability.

(Type integers or decimals)

Answer 1

Theoretical A-20%

Experimental-24%

Theoretical B -

Answer 2

Theoretical A - 20%

Experimental - 24%

Theoretical B - <

Explanation:

The theoretical probability of choosing a card with the number 2 is:

1 out of 5 cards have the number 2, so the probability of choosing a card with the number 2 is 1/5 or 0.2, which is equal to 20%.

The experimental probability of choosing a card with the number 2 is:

Out of the 400 people surveyed, 96 chose the card labeled 2. So the experimental probability is 96/400 or 0.24, which is equal to 24%.