QUESTION IMAGE
Question
mary planned to go to a movie or shopping mall or a park or restaurant or hospital. she wants to go with any one of her friends: linda, lisa, maria, or barbara. find the probability that mary went to a park with maria.
options:
- $\frac{1}{10}$
- $\frac{1}{12}$
- $\frac{1}{20}$
- $\frac{1}{9}$
Step1: Determine total outcomes
Mary has 5 places (movie, mall, park, restaurant, hospital) and 4 friends (Linda, Lisa, Maria, Barbara). Total outcomes = 5 * 4 = 20.
Step2: Determine favorable outcome
Favorable outcome: park with Maria (1 outcome).
Step3: Calculate probability
Probability = favorable / total = 1 / 20.
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$\frac{1}{20}$ (corresponding to the option with $\frac{1}{20}$)