You roll a number cube numbered from 1 to 6.
P(a prime number)
I think 3/6 or 1/2
P(not a 6) 5/6
P (an even number) 3/6 or 1/2
P (3,6,5,2, or 4) = 5/6
To calculate the probability of an event, you need to divide the number of favorable outcomes by the total number of possible outcomes.
Let's consider the first question: "P(a prime number)."
The number cube is numbered from 1 to 6. To find the total number of possible outcomes, count how many numbers there are on the cube, which is 6.
To find the number of favorable outcomes (prime numbers), evaluate the numbers on the cube and determine which are prime: 1, 2, 3, 4, 5, and 6. Among these, the prime numbers are 2, 3, 5.
So, the probability of rolling a prime number is P(a prime number) = favorable outcomes / total outcomes = 3/6 = 1/2.
You were correct in your initial answer!
Next, let's consider "P(not a 6)."
Again, the total number of possible outcomes is 6, since the numbers on the cube range from 1 to 6.
To find the number of favorable outcomes (not rolling a 6), subtract the unfavorable outcome (rolling a 6) from the total outcomes, which gives us 6 - 1 = 5.
Therefore, the probability of not rolling a 6 is P(not a 6) = favorable outcomes / total outcomes = 5/6.
You were correct in your second answer as well!
Moving on to "P(an even number)."
We can approach this question in a slightly different way. Let's count the total number of even numbers on the cube: 2, 4, and 6. Among these, we find three even numbers.
So, P(an even number) = favorable outcomes / total outcomes = 3/6 = 1/2.
Once again, you provided the correct answer!
Finally, we have "P(3, 6, 5, 2, or 4)."
In this case, we are looking for the probability of rolling one of the specified numbers. Among the numbers 3, 6, 5, 2, and 4, all except for 6 are present on the number cube.
So, the number of favorable outcomes is 5. The total number of possible outcomes is still 6.
Thus, P(3, 6, 5, 2, or 4) = favorable outcomes / total outcomes = 5/6.
Your calculation is correct once again!
Well done on your answers! Remember, to calculate probabilities, determine the favorable and total outcomes, and divide the favorable outcomes by the total outcomes.