which describes a uniform probability model? a spinner with ten equally divided sections b drawing a face or…
which describes a uniform probability model? a spinner with ten equally divided sections b drawing a face or numbered card from a deck of cards c selecting a coin from 3 quarters and 7 dimes d selecting a month using only the first letter of that month
Answer
Explanation:
Step1: Define uniform probability model
A uniform probability model has equally - likely outcomes.
Step2: Analyze option A
A spinner with ten equally - divided sections has equally - likely outcomes. The probability of landing on any one section is $\frac{1}{10}$.
Step3: Analyze option B
In a deck of cards, there are 12 face cards and 40 numbered cards. The probabilities of drawing a face card and a numbered card are different. So, it is not a uniform probability model.
Step4: Analyze option C
There are 3 quarters and 7 dimes. The probability of selecting a quarter is $\frac{3}{3 + 7}=\frac{3}{10}$ and the probability of selecting a dime is $\frac{7}{3+7}=\frac{7}{10}$. The outcomes are not equally - likely.
Step5: Analyze option D
When using the first letter of a month, some letters are repeated (e.g., J for January, June, July). The probabilities of selecting a month based on the first - letter are not equal.
Answer:
A. spinner with ten equally divided sections