Question

a box has four cards numbered 1, 2, 3, and 4. debra will toss a coin once and record the toss as heads (h) or tails (t). then she will randomly pick a card from the box and record the number chosen. give the sample space describing all possible outcomes. then give all of the outcomes for the event that the coin toss is tails. use the format h1 to mean that the coin toss is heads and the number chosen is 1. if there is more than one element in the set, separate them with commas. sample space: event that the coin toss is tails:

Explanation:

Step1: List coin - toss outcomes

The coin - toss has 2 outcomes: heads (H) and tails (T).

Step2: Combine with card - pick outcomes

For each coin - toss outcome, there are 4 card - pick outcomes (1, 2, 3, 4). When the coin shows heads, the outcomes are H1, H2, H3, H4. When the coin shows tails, the outcomes are T1, T2, T3, T4.

Answer:

Sample space: H1, H2, H3, H4, T1, T2, T3, T4
Event that the coin toss is tails: T1, T2, T3, T4