Question

An experiment consists of selecting a number at random between 0 and 9 inclusive, and a letter from the English alphabet. What is the size of the sample space of this experiment?

35
36
52
234
260

Answer 1

WILL GIVE MEDAL :) PLEASE HELP

Answer 2

@iGreen @shinalcantara @felavin

Answer 3

The sample space is {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, a, b, c, d, e, f, g, ... , z}
So the size of the sample space is 10 + 26
= 36
Answer : B

Answer 4

\(X = \{0, ..., 9\}\) and \(Y = \{a, .., z\}\)
The sample space is then \(S = X \times Y\)
Therefore we have that \(|S| = |X||Y| = 10 \cdot 26 = 260\)

Answer 5

A sample for the experiment includes both a number AND letter.

Answer 6

Each trial of the experiment gives you both a number and letter. So a sample is an ordered pair \((x, y) \in \{0, ..., 9\} \times \{a, ..., z\}\)