Question

video lesson 5.2 example 3 – finding the probability of independent events

1. use the spinner in example 3 above. find the probability that you get an even number on your first spin and a number less than 3 on your second spin.

Explanation:

Step1: Assume the spinner (from Example 3) has numbers 1 - 4 (common spinner setup for such problems, equally likely outcomes). First, find probability of even number on first spin. Even numbers in 1 - 4: 2, 4. So \( P(\text{even})=\frac{2}{4}=\frac{1}{2} \).

Step2: Find probability of number less than 3 on second spin. Numbers less than 3: 1, 2. So \( P(\text{less than 3})=\frac{2}{4}=\frac{1}{2} \).

Step3: Since spins are independent, multiply probabilities: \( P = \frac{1}{2} \times \frac{1}{2}=\frac{1}{4} \). (If spinner has different numbers, adjust counts, but common case gives 1/4.)

Answer:

\(\frac{1}{4}\) (assuming spinner with numbers 1 - 4, equally likely; adjust if spinner has different range/numbers)