Question

felix has fourteen cards. each card has a different number from 1 to 14 on it. he chooses a card at random. determine if each event is unlikely, as likely as not, likely, or certain. the events are: greater than 4, even, less than 15.

Explanation:

Step1: Analyze "less than 15"

All cards are 1-14, so this is certain.

Step2: Analyze "even"

There are 7 even (2,4,6,8,10,12,14) and 7 odd cards. Probability is $\frac{7}{14}=\frac{1}{2}$, so as likely as not.

Step3: Analyze "greater than 4"

Cards greater than 4: 5-14, total 10. Probability is $\frac{10}{14}\approx0.71$, so likely.

Step4: Analyze remaining category

The only left label is "Unlikely" (no other events, but if we infer, an event like picking 1-4 would be $\frac{4}{14}\approx0.29$, which is unlikely).

Answer:

• Certain: less than 15
• As Likely as Not: even
• Likely: greater than 4
• Unlikely: [Event with low probability, e.g., picking 1-4]