Question

you pick a card at random. what is p(not divisor of 80)? simplify your answer and write it as a fraction or whole number.

Explanation:

Step1: Find total number of cards

There are 8 cards, so total number of outcomes $n = 8$.

Step2: Find divisors of 80 among the cards

The divisors of 80 among 2, 3, 4, 5, 6, 7, 8, 9 are 2, 4, 5, 8. So number of favorable outcomes for "divisor of 80" $m_1=4$.

Step3: Find number of favorable outcomes for "not divisor of 80"

Number of favorable outcomes for "not divisor of 80" $m_2=n - m_1=8 - 4 = 4$.

Step4: Calculate the probability

Probability $P=\frac{m_2}{n}=\frac{4}{8}=\frac{1}{2}$.

Answer:

$\frac{1}{2}$