Answer:
There are 17 different sums possible.
Step-by-step explanation:
To solve this problem, we need to find the total number of possible outcomes from picking a card, rolling a die, and spinning the spinner, and then count the unique sums that can be obtained.
Given:
- Cards: 1, 2, 3, 4, 5, 6, 7, 8 (8 possible outcomes)
- Die: 1, 2, 3, 4, 5, 6 (6 possible outcomes)
- Spinner: 2, 3, 4, 5, 6 (5 possible outcomes)
Step 1: Find the total number of possible outcomes.
Total number of possible outcomes = Number of outcomes for cards × Number of outcomes for die × Number of outcomes for spinner
Total number of possible outcomes = 8 × 6 × 5 = 240
Step 2: Determine the possible sums.
The sum can range from a minimum of 4 (1 + 1 + 2) to a maximum of 20 (8 + 6 + 6).
Step 3: Count the unique sums.
There are 17 possible unique sums from 4 to 20.
Therefore, there are 17 different sums possible when picking a card, rolling a die, and spinning the spinner.
