Question

1. find the probability of spinning a 1 and an a: p(1 and a).

Explanation:

Step1: Calculate probability of spinning 1

The first spinner has 8 equal - sized sections. The probability of spinning a 1, \(P(1)\), is \(\frac{1}{8}\) since there is 1 section labeled 1 out of 8 total sections.

Step2: Calculate probability of spinning A

The second spinner has 6 equal - sized sections. There are 3 sections labeled A. So the probability of spinning an A, \(P(A)\), is \(\frac{3}{6}=\frac{1}{2}\)

Step3: Use the multiplication rule for independent events

Since the two spins are independent events, \(P(1\ and\ A)=P(1)\times P(A)\). Substitute \(P(1)=\frac{1}{8}\) and \(P(A)=\frac{1}{2}\) into the formula: \(P(1\ and\ A)=\frac{1}{8}\times\frac{1}{2}=\frac{1}{16}\)

Answer:

B. \(\frac{1}{16}\)