Question

the table shows the possible outcomes of spinning the given spinner and flipping a fair coin. find the probability of the coins landing heads up and the pointer landing on either 1, 2 or 4. (use a reduced fraction for your answer). 7/8 3 3/10 1/2

Explanation:

Step1: Find total outcomes

The spinner has 5 sections (1,2,3,4,5) and the coin has 2 outcomes (H,T). So total outcomes = \(5\times2 = 10\).

Step2: Find favorable outcomes

We need heads (H) and pointer on 1,2, or 4. From the table, favorable outcomes are H,1; H,2; H,4. So number of favorable outcomes = 3.

Step3: Calculate probability

Probability = \(\frac{\text{favorable outcomes}}{\text{total outcomes}}=\frac{3}{10}\).

Answer:

\(\frac{3}{10}\)