A deck of ten cards is given to you as shown below in the figure. One card is drawn at random from this deck. The probability of selecting a number less than 9 is__ (to one decimal place).
Correct Answer: 0.8
Solution and Explanation
To determine the probability of selecting a card with a number less than 9 from the given deck, follow these steps:
- Identify the total number of cards: The deck contains 10 cards, numbered from 1 to 10.
- Identify favorable outcomes: Cards with numbers less than 9 are: 1, 2, 3, 4, 5, 6, 7, and 8. This gives us 8 favorable outcomes.
- Calculate the probability: Probability is the ratio of favorable outcomes to the total outcomes.
\[ \text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{8}{10} = 0.8 \] - Verify against the range: The computed probability is 0.8
Thus, the probability of selecting a card with a number less than 9 is 0.8 (to one decimal place).
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