Question

1. what is the probability of spinning these two spinners and having each one land on a 3? write the probability as a decimal.

Explanation:

Step1: Find probability of first spinner landing on 3

The first spinner has 3 sections and 1 of them is 3. So the probability $P_1=\frac{1}{3}$.

Step2: Find probability of second spinner landing on 3

The second spinner has 5 sections and 3 of them are 3. So the probability $P_2 = \frac{3}{5}$.

Step3: Use multiplication rule for independent events

Since the spins are independent, the probability of both events occurring is $P = P_1\times P_2$. Substitute $P_1=\frac{1}{3}$ and $P_2=\frac{3}{5}$ into the formula: $P=\frac{1}{3}\times\frac{3}{5}=\frac{1\times3}{3\times5}=\frac{3}{15} = 0.2$.

Answer:

$0.2$