Question

1. what is the chance of landing on an even number on two of two spins?

options: \\(\frac{2}{9}\\), \\(\frac{1}{3}\\), \\(\frac{1}{4}\\), \\(\frac{1}{2}\\)

Explanation:

Step1: Identify even numbers on the spinner

The spinner has numbers 1, 2, 3, 4, 5, 6. Even numbers are 2, 4, 6. So there are 3 even numbers out of 6 total numbers. The probability of landing on an even number in one spin is $\frac{3}{6}=\frac{1}{2}$.

Step2: Calculate probability for two spins

Since the two spins are independent events, the probability of landing on an even number in both spins is the product of the probabilities of each spin. So we calculate $\frac{1}{2} \times \frac{1}{2}=\frac{1}{4}$.

Answer:

$\frac{1}{4}$