you spin the spinner twice. (2, 3, 4, 5) what is the probability of landing on a number greater than 3 and…

Explanation:

Step1: Find probability of landing on number > 3

The numbers greater than 3 in the set {2, 3, 4, 5} are 4 and 5. So there are 2 favorable outcomes out of 4 total outcomes. The probability $P_1$ of landing on a number greater than 3 is $P_1=\frac{2}{4}=\frac{1}{2}$.

Step2: Find probability of landing on 5

There is 1 favorable outcome (the number 5) out of 4 total outcomes. The probability $P_2$ of landing on 5 is $P_2 = \frac{1}{4}$.

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 $P = P_1\times P_2$. Substitute $P_1=\frac{1}{2}$ and $P_2=\frac{1}{4}$ into the formula: $P=\frac{1}{2}\times\frac{1}{4}=\frac{1}{8}$.

Answer:

$\frac{1}{8}$