Question

a probability experiment consists of rolling a six-sided die and spinning the spinner shown at the right. the spinner is equally likely to land on each color. use a tree diagram to find the probability of the given event. then tell whether the event can be considered unusual.

event: rolling a number less than 2 and the spinner landing on blue

the probability of the event is 0.042.
(type an integer or decimal rounded to three decimal places as needed.)

can the event be considered unusual?

a. yes, because the probability is close enough to 1.
b. yes, because the probability is close enough to 0.
c. no, because the probability is not close enough to 1.
d. no, because the probability is not close enough to 0.

Explanation:

Calculate the probability of rolling a number less than 2

Using the Independent Events Probability knowledge point

$$
LATEXBLOCK0
$$

Calculate the probability of the spinner landing on blue

Using the Independent Events Probability knowledge point

$$
LATEXBLOCK1
$$

Calculate the joint probability of the independent events

Using the Independent Events Probability knowledge point

$$
LATEXBLOCK2
$$

Determine if the event is considered unusual

Using the Unusual Event Probability knowledge point

$$
LATEXBLOCK3
$$

Answer:

• A. Yes, because the probability is close enough to 1.
• B. Yes, because the probability is close enough to 0. (Correct answer)
• C. No, because the probability is not close enough to 1.
• D. No, because the probability is not close enough to 0.