Questions: A probability experiment consists of rolling an eight-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 7 and the spinner landing on yellow
The probability of the event is
(Type an integer or decimal rounded to three decimal places as needed.)
Can the event be considered unusual?
A. No, because the probability is not close enough to 0 .
B. Yes, because the probability is close enough to 0 .
C. No, because the probability is not close enough to 1 .
D. Yes, because the probability is close enough to 1.
Transcript text: A probability experiment consists of rolling a eight-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 7 and the spinner landing on yellow
The probability of the event is $\square$
(Type an integer or decimal rounded to three decimal places as needed.)
Can the event be considered unusual?
A. No, because the probability is not close enough to 0 .
B. Yes, because the probability is close enough to 0 .
C. No, because the probability is not close enough to 1 .
D. Yes, because the probability is close enough to 1.
Solution
Solution Steps
Step 1: Calculate the Probability of the Specific Event for the Die
The probability of the specific event for the die is calculated as the number of favorable outcomes divided by the total number of outcomes. In this case, there are 6 favorable outcomes out of 8 total outcomes, giving a probability of 0.75.
Step 2: Calculate the Probability of the Spinner Landing on the Specified Section
Since the spinner is divided into 4 equal sections, the probability of landing on any specific section is 0.25.
Step 3: Calculate the Combined Probability of the Event
The combined probability of both events occurring is the product of their individual probabilities, which is 0.75 * 0.25 = 0.188.
Step 4: Determine if the Event Can Be Considered Unusual
Since the combined probability of 0.188 is not less than the threshold of 0.05, the event is not considered unusual.
Final Answer:
The event is not unusual with a combined probability of 0.188.