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    Emmaline is deciding whether to buy a gym membership from Gym A or from Gym B.  Both gyms are open 7 days of the week.  Gym A has free equipment 6 out of 7 days of the week, and Gym B has free equipment 80% of the time.  Gym A has personal trainers 5 days of the week, and Gym B does not have personal trainers 8/28 of the time.

    Q1 Considering only the availability of equipment and presence of personal trainers, should Emmaline get a gym membership at Gym A?
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    Explanation

    The correct answer is A.  Jot the information that you know into a table using the ‘same, simple, positive’ rule.  Keep the information in the same and most simple format, looking at the information the question is asking about.  The question asks us to consider only availability of equipment and presence of personal trainers.  Note that for Gym B, we are told the probability of personal trainers not being there, so to find the probability of personal trainers being there, subtract this from 1. 

     

    Gym A

    Gym B

    P(equipment available) = 6/7 = 0.857

    P(equipment available) = 0.80

    P(personal trainers available) = 5/7

    P(personal trainers available) = 20/28 = 5/7

    Both gyms have the same presence of personal trainers, but Gym A has more free equipment than Gym B, so A is the correct answer.  B, and D are incorrect because there is equal personal trainer time at both gyms; C is incorrect because the answer choice says that Emmaline should not get a gym membership at Gym A, though she should, based on the equipment availability.

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