A spinner is divided into 12 equal segment that are numbered 1 through 12. what is the probability that the spinner will not land on 4 or 5? Reduce if necessary
P(4) = 1/12
P(5) = 1/12
Either-or probabilities are found by adding the individual probabilities.
To find the probability that the spinner will not land on 4 or 5, we first need to calculate the total number of possible outcomes and the number of favorable outcomes.
Total number of possible outcomes: Since the spinner is divided into 12 equal segments, the total number of possible outcomes is 12.
Number of favorable outcomes: Since we don't want the spinner to land on 4 or 5, there are 2 unfavorable outcomes. Therefore, the number of favorable outcomes is 12 - 2 = 10.
Now, we can calculate the probability 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 = 10/12
To reduce the probability, we can simplify it by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 2 in this case:
Probability = (10/2) / (12/2)
Probability = 5/6
Therefore, the probability that the spinner will not land on 4 or 5 is 5/6.
To find the probability that the spinner will not land on 4 or 5, we need to first determine the total number of possible outcomes, and then find the number of favorable outcomes where the spinner does not land on 4 or 5.
The total number of possible outcomes is given by the number of segments on the spinner, which is 12.
Now, let's determine the number of favorable outcomes where the spinner does not land on 4 or 5. Since there are 12 equal segments on the spinner and the segments are numbered 1 through 12, the unfavorable outcomes are segments 4 and 5.
Therefore, there are 12 total outcomes and 2 unfavorable outcomes.
To find the probability, we divide the number of favorable outcomes by the number of total outcomes:
Probability = (Number of favorable outcomes) / (Number of total outcomes)
Probability = (12 - 2) / 12
Probability = 10 / 12
The probability that the spinner will not land on 4 or 5 is 10/12.
To reduce the fraction if necessary, we can simplify it by dividing the numerator and denominator by their greatest common divisor, which is 2:
Probability = 5 / 6
Therefore, the reduced probability is 5/6.