a pair of dice is tossed. What is the probability of getting a total of 6?
hint:
list the ways to get a total of 6
e.g.
15 .....
there are 36 ways for the 2 dice to fall
A pair of fair dice is rolled. What is the probability of at least one 3 cast
To find the probability of getting a total of 6 when tossing a pair of dice, we need to determine the number of favorable outcomes and the total number of possible outcomes.
1. Determine the total number of possible outcomes:
Each die has 6 sides, so there are 6 possible outcomes for each die. As there are two dice, the total number of possible outcomes is 6 * 6 = 36.
2. Determine the number of favorable outcomes:
To get a total of 6 on the two dice, we need to find the combinations that result in 6. These combinations include (1, 5), (2, 4), (3, 3), (4, 2), and (5, 1). There are 5 favorable outcomes.
3. Calculate the probability:
The probability of an event is given by the number of favorable outcomes divided by the total number of possible outcomes.
Probability of getting a total of 6 = Number of favorable outcomes / Total number of possible outcomes
= 5 / 36
Therefore, the probability of getting a total of 6 when tossing a pair of dice is 5/36.
To find the probability of getting a total of 6 when tossing a pair of dice, we need to determine the number of favorable outcomes (rolling a total of 6) and divide it by the number of possible outcomes.
Step 1: Determine the favorable outcomes:
To roll a total of 6, we can have the following combinations:
- Rolling a 1 on one die and a 5 on the other.
- Rolling a 2 on one die and a 4 on the other.
- Rolling a 3 on one die and a 3 on the other.
- Rolling a 4 on one die and a 2 on the other.
- Rolling a 5 on one die and a 1 on the other.
So, there are 5 favorable outcomes.
Step 2: Determine the total number of possible outcomes:
When rolling a pair of dice, each die has 6 possible outcomes (numbers 1 to 6). Since we are rolling two dice, there are 6 × 6 = 36 possible outcomes.
Step 3: Calculate the probability:
To find the probability, we divide the number of favorable outcomes by the total number of possible outcomes:
Probability = Favorable outcomes / Total outcomes
Probability = 5 / 36
Therefore, the probability of getting a total of 6 when tossing a pair of dice is 5/36.