Question

joe flips this coin once and picks one card from a deck. the deck has these cards. 1 2 3 4 5 6 which table represents the sample space of this compound event? 1 2 3 4 5 6 heads (h) h,1 h,2 h,3 h,4 h,5 h,6 tails (t) t,1 t,3 t,4 t,5 t,6 2 3 4 5 6 heads (h) h,2 h,3 h,4 h,5 h,6 tails (t) t,2 t,3 t,4 t,5 t,6

Explanation:

Step1: Analyze the compound - event

The compound event consists of a coin - flip (2 outcomes: heads (H) or tails (T)) and a card - pick (6 outcomes: 1, 2, 3, 4, 5, 6).

Step2: Determine the sample - space

The sample space should list all possible combinations of the coin - flip and card - pick outcomes. Each outcome of the coin - flip should be paired with each outcome of the card - pick.
The first table shows all 2 (coin - flip outcomes)×6 (card - pick outcomes) = 12 possible combinations: (H, 1), (H, 2), (H, 3), (H, 4), (H, 5), (H, 6), (T, 1), (T, 2), (T, 3), (T, 4), (T, 5), (T, 6).
The second table is missing the combinations with the card numbered 1.

Answer:

The first table represents the sample space of this compound event.