Stacy has a spinner (1-4) and a number cube (1-6). After spinning and rolling the number cube, she will add the two numbers.
What is the probability that the sum of the numbers from the spinner and number cube will be 3 or 4?
ways to get 3 or 4
1,2;
1,3
2,1;
2,2
3,1
probability= 5ways*1/4*1/6=5/24
another way.
prob= prob1,2or3+prob2,1or2, +prob3,1
= 1/4*2/6+1/4*2/6 + 1/4*1/6
=1/4(5/6= 5/24
To find the probability that the sum of the numbers from the spinner and number cube will be 3 or 4, we first need to determine all the possible outcomes.
The spinner has 4 numbers (1, 2, 3, and 4), and the number cube has 6 numbers (1, 2, 3, 4, 5, and 6). To find all the possible outcomes, we need to calculate the total number of combinations possible when adding these two numbers.
We can construct a table to represent all the combinations:
| Spinner | Number Cube |
|---------|-------------|
| 1 | 1 |
| 1 | 2 |
| 1 | 3 |
| 1 | 4 |
| 1 | 5 |
| 1 | 6 |
| 2 | 1 |
| 2 | 2 |
| 2 | 3 |
| 2 | 4 |
| 2 | 5 |
| 2 | 6 |
| 3 | 1 |
| 3 | 2 |
| 3 | 3 |
| 3 | 4 |
| 3 | 5 |
| 3 | 6 |
| 4 | 1 |
| 4 | 2 |
| 4 | 3 |
| 4 | 4 |
| 4 | 5 |
| 4 | 6 |
Now, we can see that there are 24 possible outcomes.
Next, let's determine the outcomes where the sum is either 3 or 4:
| Spinner | Number Cube | Sum |
|---------|-------------|-----|
| 1 | 2 | 3 |
| 1 | 3 | 4 |
| 2 | 1 | 3 |
| 2 | 2 | 4 |
| 3 | 1 | 4 |
From this table, we can see that there are 5 possible outcomes where the sum is 3 or 4.
Finally, to calculate the probability, we divide the number of desired outcomes (5) by the total number of possible outcomes (24):
Probability = Number of desired outcomes / Total number of possible outcomes
Probability = 5 / 24
Thus, the probability that the sum of the numbers from the spinner and number cube will be 3 or 4 is 5/24.