Question

suppose a fair coin is tossed and the spinner below is spun one time. what is the probability of flipping heads and spinning a number greater than 2? a. 1/5 b. 3/20 c. 3/5 d. 3/10

Explanation:

Step1: Calculate probability of flipping heads

A fair coin has 2 possible outcomes (heads or tails). The probability of flipping heads, $P(H)=\frac{1}{2}$.

Step2: Calculate probability of spinning a number greater than 2

The spinner has 5 possible outcomes (1, 2, 3, 4, 5). The numbers greater than 2 are 3, 4, 5. So there are 3 favorable outcomes. The probability of spinning a number greater than 2, $P(N> 2)=\frac{3}{5}$.

Step3: Use the multiplication - rule for independent events

Since the coin - toss and the spinner spin are independent events, the probability of both events occurring is the product of their individual probabilities. $P = P(H)\times P(N > 2)$.
$P=\frac{1}{2}\times\frac{3}{5}=\frac{3}{10}$

Answer:

d. 3/10