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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. options: unlikely, as likely as not, likely, certain (with a specific event less than 15)
Step1: Analyze "less than 15"
All cards are 1-14, so every card is less than 15. Probability: $P(\text{less than 15}) = \frac{14}{14} = 1$
Step2: Analyze "even"
Even numbers 1-14: 2,4,6,8,10,12,14 (7 total). Probability: $P(\text{even}) = \frac{7}{14} = \frac{1}{2}$
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- "less than 15" → Certain
- "even" → As Likely as Not