Probability of Chance Events Quick Check

Question

2 of 52 of 5 Items

Question
The letter tiles C, A, R, E, and S are placed in a box. Without looking, Jorelle picks a letter tile from the box and records the result before placing it back. He repeats the procedure 100 times and observes the following results:

Outcomes C A R E S
Frequency 20 25 30 10 15
Based on the observed frequency, develop a probability model for this experiment. Express the probability in decimal form, rounded to the nearest hundredth.

(1 point)
Responses

X C A R E S
P(X) 0.02 0.03 0.03 0.01 0.015X C A R E S P(X) 0.02 0.03 0.03 0.01 0.015

X C A R E S
P(X) 0.25 0.25 0.35 0.15 0.15X C A R E S P(X) 0.25 0.25 0.35 0.15 0.15

X C A R E S
P(X) 0.20 0.30 0.25 0.10 0.15X C A R E S P(X) 0.20 0.30 0.25 0.10 0.15

X C A R E S
P(X) 0.20 0.25 0.30 0.10 0.15

Answer 1

The correct probability model for this experiment is:

X C A R E S
P(X) 0.20 0.25 0.30 0.10 0.15

Answer 2

Probability of Chance Events Quick Check
5 of 55 of 5 Items

Question
Use the table to answer the question.

Number of White Balls Selected Number of Red Balls Selected
Bowl A 5 15
Bowl B 16 4
Bowls A and B contain a number of white and red balls. Simon repeatedly selected a ball from both bowls and recorded the results in a table. Using Simon’s results, what is the experimental probability of picking a red ball from Bowl A? The answer needs to be in percent form.

(1 point)
Responses

75%
75%

37.5%
37.5%

78.95%
78.95%

25%

Answer 3

To find the experimental probability of picking a red ball from Bowl A, we need to divide the number of times a red ball was selected from Bowl A by the total number of selections from Bowl A.

In this case, there were 15 red balls selected from Bowl A out of a total of 20 selections from Bowl A.

So, the experimental probability of picking a red ball from Bowl A is 15/20 = 0.75 or 75%.

Therefore, the correct response is 75%.