Question

question 5 of 10
a coin has 2 sides: heads (h) and tails (t). a bag has 4 balls: 1 red (r), 1 green (g), 1 yellow (y), and 1 blue (b).
you toss a coin and randomly pick a ball. what is the sample space?
a. {hr, hg, hy, hb, tr, tg, ty, tb}
b. {tr, tg, hy, hb}
c. {h, t}
d. {r, g, y, b, h, t}

Explanation:

A sample space is the set of all possible outcomes. When tossing a coin, there are 2 outcomes (H or T). When picking a ball, there are 4 outcomes (R, G, Y, B). By the multiplication principle, the total number of combined outcomes is \(2\times4 = 8\). Each outcome is a combination of a coin - toss result and a ball - pick result. For example, if the coin shows heads (H) and the ball is red (R), the outcome is HR.

Answer:

A. \(\{HR, HG, HY, HB, TR, TG, TY, TB\}\)