Question

a bag has 3 balls: 1 orange (o), 1 green (g), and 1 blue (b). a coin has 2 sides: heads (h) and tails (t).
you randomly pick a ball and toss a coin. what is the sample space?
a. {o, g, b}
b. {oh, ot, gh, gt, bh, bt, og, gb, bo, ht}
c. {o, g, b, h, t}
d. {oh, ot, gh, gt, bh, bt}

Explanation:

Step1: List ball outcomes

Balls: O, G, B

Step2: List coin outcomes

Coin: H, T

Step3: Combine outcomes

Each ball pairs with each coin side: OH, OT, GH, GT, BH, BT

Answer:

D. {OH, OT, GH, GT, BH, BT}