you spin the spinner twice. what is the probability of landing on a number less than 5 and then landing on a…

Explanation:

Step1: Calculate probability of landing on number less than 5

There are 4 numbers on the spinner (3, 4, 5, 6) and 2 numbers less than 5 (3, 4). So the probability $P_1$ of landing on a number less than 5 on the first - spin is $\frac{2}{4}=\frac{1}{2}$.

Step2: Calculate probability of landing on 3

There is 1 number 3 on the spinner out of 4 numbers. So the probability $P_2$ of landing on 3 on the second - spin is $\frac{1}{4}$.

Step3: Calculate combined probability

Since the two spins are independent events, the combined probability $P = P_1\times P_2$. So $P=\frac{1}{2}\times\frac{1}{4}=\frac{1}{8}$.

Step4: Convert to percentage

To convert $\frac{1}{8}$ to a percentage, we calculate $\frac{1}{8}\times100% = 12.5%$.

Answer:

12.5%