MATH SOLVE

9 months ago

Q:
# Which table correctly shows all the sample spaces for tossing a coin and rolling an odd number on a six-sided number cube? Coin Number cube Outcome Heads 1 Heads, 1 Heads 3 Heads, 3 Heads 5 Heads, 5 Tails 1 Tails, 1 Tails 3 Tails, 3 Tails 5 Tails, 5 Coin Number cube Outcome Heads 1 Heads, 1 Heads 2 Heads, 2 Heads 3 Heads, 3 Tails 4 Tails, 4 Tails 5 Tails, 5 Tails 6 Tails, 6 Coin Number cube Outcome Heads 2 Heads, 2 Heads 4 Heads, 4 Heads 6 Heads, 6 Tails 2 Tails, 2 Tails 4 Tails, 4 Tails 6 Tails, 6 Coin Number cube Outcome Heads 2 Heads, 1 Heads 4 Heads, 3 Heads 6 Heads, 5 Tails 2 Tails, 2 Tails 4 Tails, 4 Tails 6 Tails, 6

Accepted Solution

A:

Answer with explanation:When a coin is tossed , possible outcomes are Head (H) , and Tail (T).When ,a die is thrown , possible outcomes are {1,2,3,4,5,6}.Among six numbers, odd numbers are {1,3,5}.So, it is an arrangement of two things of a kind and three things of other kind.And each of them is independent of another.Total Possible outcome = 2 × 3=6Which are , 1 H, 1 T, 3 H,3 T, 5 H, 5 T.Option A: Coin ,Number cube→ Outcome, Heads→ 1 Heads, 3 Heads, 5 Heads,1 Tails,3 Tails, 5 Tails.