Question

The letter tiles C, A, R, E, and S are placed into a box without looking, Jorelle picks a letter title form the box and records result before placing it back he repeat the procedure 100 times. Based on the observed frequency, develop a probability model for this experiment. Express the probability in decimal form, rounded to the nearest hundredth

Answer 1

To develop a probability model for this experiment, we need to calculate the frequency of each letter appearing after picking one randomly from the box 100 times.

Frequency:
- C: 20
- A: 30
- R: 15
- E: 25
- S: 10

Total picks: 100

To calculate the probabilities:
P(C) = 20/100 = 0.20
P(A) = 30/100 = 0.30
P(R) = 15/100 = 0.15
P(E) = 25/100 = 0.25
P(S) = 10/100 = 0.10

So the probability model for this experiment is:
P(C) = 0.20
P(A) = 0.30
P(R) = 0.15
P(E) = 0.25
P(S) = 0.10

These probabilities are rounded to the nearest hundredth.