You roll a blue number cube and a green number cube. Find P a number greater than 2 on the blue cube and an odd number on the green cube.
We are assuming the numbers 1 - 6 on the cubes?
If so,
Blue (3, 4, 5, or 6) is 4/6 or 2/3 chance
Green(1,3,5) is 3/6 or 1/2 chance
To get both the P is 2/3 times 1/2
To find the probability of rolling a number greater than 2 on the blue cube and an odd number on the green cube, we need to determine the number of favorable outcomes and the total number of possible outcomes.
1. Blue cube outcomes: Since we are looking for a number greater than 2 on the blue cube, the favorable outcomes are 3, 4, 5, and 6. So, there are 4 favorable outcomes.
2. Green cube outcomes: Since we are looking for an odd number on the green cube, the favorable outcomes are 1, 3, and 5. So, there are 3 favorable outcomes.
3. Total outcomes: Since both the blue and green cubes are standard 6-sided cubes, the total number of possible outcomes for each cube is 6.
Now, we can calculate the probability of rolling a number greater than 2 on the blue cube and an odd number on the green cube by dividing the number of favorable outcomes by the total number of possible outcomes.
Probability = (Number of favorable outcomes) / (Total number of possible outcomes)
Probability = (4 favorable outcomes) / (6 possible outcomes) * (3 favorable outcomes) / (6 possible outcomes)
Probability = 4/6 * 3/6
Probability = 12/36
Simplifying the fraction, we get:
Probability = 1/3
Therefore, the probability of rolling a number greater than 2 on the blue cube and an odd number on the green cube is 1/3.
To find the probability of rolling a number greater than 2 on the blue cube and an odd number on the green cube, we need to determine the favorable outcomes and the total number of possible outcomes.
Let's start with the blue cube:
1. Determine the favorable outcomes on the blue cube: Since we are looking for numbers greater than 2, the favorable outcomes on the blue cube are 3, 4, 5, and 6. This gives us a total of 4 favorable outcomes.
2. Determine the total number of outcomes on the blue cube: Since the blue cube is a number cube, it has 6 faces with numbers 1 through 6. Therefore, the total number of outcomes on the blue cube is 6.
Next, let's move on to the green cube:
1. Determine the favorable outcomes on the green cube: Since we are looking for odd numbers, the favorable outcomes on the green cube are 1, 3, and 5. This gives us a total of 3 favorable outcomes.
2. Determine the total number of outcomes on the green cube: Similar to the blue cube, the green cube also has 6 faces with numbers 1 through 6. Therefore, the total number of outcomes on the green cube is also 6.
Now, to find the overall probability, we need to multiply the probabilities of both events since we are looking for the intersection of two events (rolling a number greater than 2 on the blue cube and an odd number on the green cube).
Probability = (Number of favorable outcomes on blue cube / Total number of outcomes on blue cube) * (Number of favorable outcomes on green cube / Total number of outcomes on green cube)
Probability = (4/6) * (3/6)
Simplifying this expression gives us:
Probability = 2/9
Therefore, the probability of rolling a number greater than 2 on the blue cube and an odd number on the green cube is 2/9.