you spin the spinner once. what is p(even or less than 6)? write your answer as a fraction or whole number.

Explanation:

Step1: List all possible outcomes

The possible outcomes of spinning the spinner are 4, 5, 6, 7. So there are 4 possible outcomes.

Step2: Identify favorable outcomes for "even"

The even - numbered outcomes are 4 and 6.

Step3: Identify favorable outcomes for "less than 6"

The outcomes less than 6 are 4 and 5.

Step4: Use the formula for (P(A\cup B))

The formula for (P(A\cup B)=P(A)+P(B)-P(A\cap B)). Let (A) be the event of getting an even number and (B) be the event of getting a number less than 6. (P(A)=\frac{2}{4}), (P(B)=\frac{2}{4}), and (A\cap B) (even and less than 6) is the event of getting 4, so (P(A\cap B)=\frac{1}{4}). Then (P(A\cup B)=\frac{2 + 2-1}{4}=\frac{3}{4}).

Answer:

(\frac{3}{4})