Find the probability that theven pointer will stop on an odd number or a number less than 7
42%
To find the probability, we need to determine the number of favorable outcomes (the number of odd numbers or numbers less than 7) and divide it by the total number of possible outcomes.
Step 1: Determine the favorable outcomes.
Odd numbers on a standard six-sided die are: 1, 3, and 5.
Numbers less than 7 are all the numbers from 1 to 6.
So the favorable outcomes are: 1, 3, 5, 6. (note that 6 is counted as it is less than 7)
Step 2: Determine the total number of outcomes.
A standard six-sided die has 6 faces, numbered from 1 to 6.
Step 3: Calculate the probability.
The probability is given by: number of favorable outcomes / total number of outcomes
probability = (number of favorable outcomes) / (total number of outcomes)
probability = (4) / (6)
probability = 2/3 or approximately 0.667
Therefore, the probability that the pointer will stop on an odd number or a number less than 7 is approximately 0.667 or 2/3.
To find the probability that the pointer will stop on an odd number or a number less than 7, we need to determine the total number of favorable outcomes and the total number of possible outcomes.
First, let's determine how many favorable outcomes there are.
For the pointer to stop on an odd number, we need to consider the odd numbers from 1 to 12 (assuming a 12-number dial). There are six odd numbers in this range: 1, 3, 5, 7, 9, and 11.
For the pointer to stop on a number less than 7, we have numbers 1, 2, 3, 4, 5, and 6 that satisfy this condition.
However, there is an overlapping number, which is 3, since it is both odd and less than 7. We don't want to count it twice, so we need to subtract one from the total count.
Therefore, the total number of favorable outcomes is 6 + 6 - 1 = 11.
Next, let's determine the total number of possible outcomes. Since we have a 12-number dial, there are 12 possible outcomes.
Finally, we can calculate the probability by dividing the favorable outcomes by the total outcomes:
Probability = Favorable outcomes / Total outcomes
= 11 / 12
Therefore, the probability that the pointer will stop on an odd number or a number less than 7 is 11/12.