Question

(a) how many outcomes are there?
outcome(s)
(b) how many outcomes involve landing on 1 or 2?
outcome(s)
(c) how many outcomes involve landing on a and an odd number?
outcome(s)

Explanation:

Step1: Count total outcomes

There are \(2\) letters (\(A\) and \(B\)) and \(4\) numbers (\(1,2,3,4\)). Using the counting principle \(2\times4 = 8\) outcomes.

Step2: Count outcomes with \(1\) or \(2\)

For \(A\): \((A,1)\) and \((A,2)\). For \(B\): \((B,1)\) and \((B,2)\). Total \(2 + 2=4\) outcomes.

Step3: Count outcomes with \(A\) and odd number

Odd numbers are \(1\) and \(3\). So \((A,1)\) and \((A,3)\). Total \(2\) outcomes.

Answer:

(a) \(8\)
(b) \(4\)
(c) \(2\)