Question

latricia determines that the probability of spinning an even number and then a 3 on the spinner below is 3/4. which best describes the accuracy of latricias solution? latricias solution is accurate. latricias solution is inaccurate. her solution describes the probability of spinning an even number or a 3 in the same spin. latricias solution is inaccurate. her solution uses the correct probability of spinning an even number, but it uses 3/4 to describe the probability of spinning a 3.

Explanation:

Step1: Calculate probability of spinning an even number

The even - numbered outcomes are 2 and 4. There are 4 total outcomes (1, 2, 3, 4). So the probability of spinning an even number, $P(E)=\frac{2}{4}=\frac{1}{2}$.

Step2: Calculate probability of spinning a 3

The probability of spinning a 3, $P(3)=\frac{1}{4}$.

Step3: Calculate probability of spinning an even number and then a 3

Since these are independent events, the probability of spinning an even number and then a 3 is $P = P(E)\times P(3)=\frac{1}{2}\times\frac{1}{4}=\frac{1}{8}
eq\frac{3}{4}$. The probability of spinning an even number or a 3 in the same spin is $P(E\cup3)=\frac{2 + 1}{4}=\frac{3}{4}$ (using the formula $P(A\cup B)=P(A)+P(B)$ for mutually - exclusive events in this case).

Answer:

Latricia's solution is inaccurate. Her solution describes the probability of spinning an even number or a 3 in the same spin.