A spinner (roulette) is divided into 6 equal parts. If it is spun twice, find the probability that one is odd and other is even? *
depends on the numbers in the sections.
But it will be P(odd) * P(even)
P(odd) = #odd_sections/6
and the same for evens
To find the probability that one spin results in an odd number and the other spin results in an even number, we need to determine the total number of possible outcomes and the number of favorable outcomes.
Total number of possible outcomes when the spinner is spun twice:
Since the spinner is divided into 6 equal parts, there are 6 possible outcomes for each spin. Therefore, the total number of possible outcomes for two spins is 6 x 6 = 36.
Number of favorable outcomes:
When one spin results in an odd number, there are 3 possible outcomes (1, 3, and 5) out of 6. Similarly, when one spin results in an even number, there are 3 possible outcomes (2, 4, and 6) out of 6. So, the number of favorable outcomes is 3 x 3 = 9.
Probability:
The probability of one spin being odd and the other being even is given by the number of favorable outcomes divided by the total number of possible outcomes. Therefore,
Probability = Number of favorable outcomes / Total number of possible outcomes = 9 / 36 = 1/4.
Thus, the probability that one spin is odd and the other is even is 1/4.
To find the probability that one spin results in an odd number and the other spin results in an even number, we first need to determine the total number of outcomes.
Since the spinner is divided into 6 equal parts, there are 6 possible outcomes for each spin. Therefore, the total number of outcomes for two spins is 6 multiplied by 6, which equals 36.
Next, we need to determine the number of favorable outcomes, which in this case is the number of outcomes where one spin results in an odd number and the other in an even number.
Out of the 6 possible outcomes for the first spin, 3 of them are odd numbers (1, 3, and 5), and 3 of them are even numbers (2, 4, and 6). Similarly, out of the 6 possible outcomes for the second spin, there are also 3 odd numbers and 3 even numbers.
To find the number of favorable outcomes, we multiply the number of odd outcomes for the first spin (3) with the number of even outcomes for the second spin (3), which equals 9.
Therefore, the probability of obtaining one odd and one even number is given by the ratio of favorable outcomes to total outcomes:
Probability = Number of favorable outcomes / total outcomes
Probability = 9 / 36
Probability = 1 / 4
So, the probability that one spin results in an odd number and the other spin results in an even number is 1/4 or 0.25.