1. The problem asks for the probability that a student plays a musical instrument and the probability that a student is a junior who does not play a musical instrument.
2. Probability is calculated as the number of favorable outcomes divided by the total number of outcomes.
3. For part (i), the probability that a student plays a musical instrument is given as 36%, which means:
$$P(\text{plays instrument}) = 0.36$$
4. For part (ii), the probability that a student is a junior who does not play a musical instrument is given as a fraction \(\frac{1.16}{3}\) and also as \(\frac{6}{10}\). We need to clarify and simplify these.
5. Simplify \(\frac{1.16}{3}\):
$$\frac{1.16}{3} \approx 0.3867$$
6. The fraction \(\frac{6}{10}\) simplifies to:
$$\frac{6}{10} = \frac{\cancel{6}}{\cancel{10}} = \frac{3}{5} = 0.6$$
7. Since the two values differ, the correct probability for juniors who do not play an instrument is likely \(\frac{6}{10} = 0.6\) or 60%.
8. Therefore, the answers are:
(i) Probability student plays a musical instrument = 36% or 0.36
(ii) Probability student is a junior who does not play a musical instrument = 60% or 0.6
Final answers:
- $P(\text{plays instrument}) = 0.36$
- $P(\text{junior and no instrument}) = 0.6$
Student Probability 1Dfde7
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