Question

task 2: find the probability of the event below. give your answer as a fraction, then convert it to a percentage. 1. the probability that it will snow tomorrow is 7/20. what is the probability that it will not snow? 2. a month is randomly selected. what is the probability of getting a month that does not begin with the letter a? 3. two dice are rolled. what is the probability of not getting doubles?

Explanation:

Step1: Use complement rule for snow

The probability of an event not happening is $1 - P(\text{event})$.
$P(\text{not snow}) = 1 - \frac{7}{20} = \frac{13}{20}$

Step2: Convert fraction to percentage

Multiply fraction by 100.
$\frac{13}{20} \times 100 = 65\%$

Step3: Count total/valid months

Total months = 12; months starting with A: April, August (2 months). Use complement rule.
$P(\text{not start with A}) = 1 - \frac{2}{12} = \frac{10}{12} = \frac{5}{6}$

Step4: Convert fraction to percentage

Multiply fraction by 100.
$\frac{5}{6} \times 100 \approx 83.33\%$

Step5: Count total/double outcomes

Total dice outcomes: $6 \times 6 = 36$; doubles: (1,1),(2,2),...,(6,6) (6 outcomes). Use complement rule.
$P(\text{not doubles}) = 1 - \frac{6}{36} = \frac{30}{36} = \frac{5}{6}$

Step6: Convert fraction to percentage

Multiply fraction by 100.
$\frac{5}{6} \times 100 \approx 83.33\%$

Answer:

1. Fraction: $\frac{13}{20}$, Percentage: 65%
2. Fraction: $\frac{5}{6}$, Percentage: $\approx 83.33\%$
3. Fraction: $\frac{5}{6}$, Percentage: $\approx 83.33\%$