7 On any day the probability that it rains is \( \frac{1}{3} \). When it rains the probability that Amira goes fishing is \( \frac{3}{5} \) When it does not rain the probability that Amira goes fishing is \( \frac{3}{4} \). (a) In a period of 60 days on how many days is it expected to rain?

To determine the expected number of days it will rain over a 60-day period, we use the concept of **expected value** in probability. **Given:** - Probability of raining on any given day, \( P(\text{Rain}) = \frac{1}{3} \). **Calculation:** - **Expected number of rainy days** = Total number of days × Probability of rain on any given day. \[ \text{Expected rainy days} = 60 \times \frac{1}{3} = 20 \] **Answer:** (a) It is expected to rain on 20 days out of the 60-day period.