you spin the spinner twice. what is the probability of landing on an even number and then landing on an odd…

Explanation:

Step1: Find probability of even - first spin

There are 4 numbers on the spinner: 1, 2, 3, 4. Even numbers are 2 and 4. So the probability of landing on an even number on the first spin is $\frac{2}{4}=\frac{1}{2}$.

Step2: Find probability of odd - second spin

Odd numbers are 1 and 3. So the probability of landing on an odd number on the second spin is $\frac{2}{4}=\frac{1}{2}$.

Step3: Use multiplication rule for independent events

Since the two spins are independent events, the probability of both events occurring is the product of their individual probabilities. So $P=\frac{1}{2}\times\frac{1}{2}$. $P = \frac{1\times1}{2\times2}=\frac{1}{4}$

Answer:

$\frac{1}{4}$