Question

miranda will spin this spinner twice. what is the probability that it lands on an 8 and then lands on an odd number? \\(\frac{4}{5}\\) \\(\frac{4}{25}\\) \\(\frac{3}{25}\\) \\(\frac{3}{5}\\)

Explanation:

Step1: Probability of landing on 8

The spinner has 5 equal sections. Number of 8s is 1. So probability of 8 is $\frac{1}{5}$.

Step2: Probability of landing on odd number

Odd numbers on spinner: 5, 7, 9 (3 numbers). Probability of odd is $\frac{3}{5}$.

Step3: Multiply the two probabilities

Since the spins are independent, multiply the probabilities: $\frac{1}{5} \times \frac{3}{5} = \frac{3}{25}$.

Answer:

$\frac{3}{25}$ (corresponding to the option with $\frac{3}{25}$)