A spinner containing 8 numbers is spun. What is the probability of the event that the spinner
A.) lands on an odd number?
B.)lands on a number divisible by 3?
C.)does not land on 5,6, or 7?
D.)lands on a number less than 4?
there are 8 possibilities, so count up how many mean success, and divide by 8.
For example, there are 4 odd numbers, so the chance of hitting one is 4/8 = 1/2
To calculate the probability of an event, you need to know the number of favorable outcomes and the total number of possible outcomes. Let's break down each question one by one:
A.) Probability of landing on an odd number:
Out of the total 8 numbers in the spinner, there are 4 odd numbers (1, 3, 5, 7). So the number of favorable outcomes is 4. The total number of possible outcomes is 8. Therefore, the probability of landing on an odd number is 4/8, which simplifies to 1/2.
B.) Probability of landing on a number divisible by 3:
Out of the total 8 numbers, there are 2 numbers (3 and 6) that are divisible by 3. So the number of favorable outcomes is 2. The total number of possible outcomes is still 8. Therefore, the probability of landing on a number divisible by 3 is 2/8, which simplifies to 1/4.
C.) Probability of not landing on 5, 6, or 7:
Out of the total 8 numbers, there are 3 numbers (5, 6, 7) we want to avoid. So the number of favorable outcomes for this event is 8 - 3 = 5. The total number of possible outcomes remains 8. Therefore, the probability of not landing on 5, 6, or 7 is 5/8.
D.) Probability of landing on a number less than 4:
Out of the total 8 numbers, there are 3 numbers (1, 2, 3) that are less than 4. So the number of favorable outcomes is 3. The total number of possible outcomes remains 8. Therefore, the probability of landing on a number less than 4 is 3/8.
Remember, to find the probability of an event, divide the number of favorable outcomes by the total number of possible outcomes.