Question

Students in a math club conduct the probability experiment described.

A box contains a set of cards. Each card has a picture of a square, a circle, or a triangle on it.
In each round of the experiment, a student selects a card from the box without looking.
The student records the picture on the card.
Then, the student puts the card back into the box.

This process happens 150 times for each of three rounds. The table shows the number of times a card with each shape is selected.

Answer 1

The experimental probabilities indicate that a card with a circle is likely in round 1, a card with a triangle in round 2, and a square in round 3.

The probability of selecting a card with a circle in round 1 is the ratio of the number of times a card with a circle is selected to the total number of selections. In round 1, a card with a circle is selected 48 times out of 150 selections. Therefore, the probability is 48/150 or 0.32.

The experimental probability of selecting a card with a triangle in round 2 is the ratio of the number of times a card with a triangle is selected to the total number of selections. In round 2, a card with a triangle is selected 42 times out of 150 selections. Therefore, the experimental probability is 42/150 or 0.28.

The shape most likely to be selected in round 3 is the one that has the highest frequency or relative frequency in the table. In round 3, a card with a square is selected 62 times out of 150 selections, which is the highest among the three shapes. Therefore, the shape most likely to be selected in round 3 is a square.