Use the fundamental counting principle to find the total number of outcomes in each situation.
1.Rolling two number cubes and tossing one coin. = Is the outcome = 4?
2.Choosing from 3 sizes of distilled,filtered, or spring water. = Is the outcome 9?
Thanks
To use the fundamental counting principle, you need to multiply the number of outcomes for each independent event.
1. Rolling two number cubes and tossing one coin:
- The number of outcomes when rolling two number cubes is calculated by multiplying the number of outcomes for each cube. Since each number cube has six possible outcomes (numbers 1 to 6), the total number of outcomes for rolling two number cubes is 6 x 6 = 36.
- The number of outcomes when tossing one coin is two (heads or tails).
Thus, the total number of outcomes for rolling two number cubes and tossing one coin is 36 x 2 = 72.
Therefore, the outcome is not 4, but 72.
2. Choosing from 3 sizes of distilled, filtered, or spring water:
- The number of outcomes is equal to the number of choices for each category multiplied together. Since there are 3 choices for sizes, the number of outcomes is 3.
Therefore, the outcome is not 9, but 3.
Hope this helps!
Find the total number of outcomes for picking a month of the year and tossing a coin. Use the Fundamental Counting Principle. *
Use the Counting Principle to find the probability of rolling a 4 on each of 4 number cubes.
1. Each cube has 6 sides (think of dice) and the coin has two.
6 * 6 * 2 =?
2. 3 * 3 = 9 Right!
I hope this helps.