you spin the spinner twice. what is the probability of landing on a 2 and then landing on a 2? write your…

Explanation:

Step1: Find probability of first - spin

The spinner has 5 equal sections. The probability of landing on 2 on the first spin is the number of favorable outcomes (1 section labeled 2) divided by the total number of outcomes (5 sections). So, $P(2\text{ on first spin})=\frac{1}{5}$.

Step2: Find probability of second - spin

Since the spins are independent events, the probability of landing on 2 on the second spin is also $\frac{1}{5}$ because the conditions of the spinner remain the same.

Step3: Use multiplication rule for independent events

The probability of two independent events $A$ and $B$ both occurring is $P(A)\times P(B)$. Here, $A$ is landing on 2 on the first spin and $B$ is landing on 2 on the second spin. So, $P(2\text{ then }2)=\frac{1}{5}\times\frac{1}{5}=\frac{1}{25}$.

Answer:

$\frac{1}{25}$