A spinner has its center in a rectangular octagon
3 answers
and spins in a circular motion. The spinner has eight equal sections, each labeled with a different number (1 through 8). When the spinner is spun, the pointer will land on one of the numbers randomly, with each number having an equal chance of being landed on. This makes the spinner a fair game of chance, as each outcome is equally likely to occur.
What is the probability of the spinner will land on An odd number two spins in a row
A. 1/16
B. 1/6
C. 2/4
D. 1/2
E. 1
A. 1/16
B. 1/6
C. 2/4
D. 1/2
E. 1
To calculate the probability of the spinner landing on an odd number two spins in a row, we need to consider the possible outcomes of each spin.
There are a total of 8 numbers on the spinner, with 4 odd numbers (1, 3, 5, 7) and 4 even numbers (2, 4, 6, 8).
The probability of landing on an odd number on the first spin is 4 out of 8, or 4/8, which simplifies to 1/2.
Since each spin is independent, the probability of landing on an odd number on the second spin is also 1/2.
To find the probability of both events happening (landing on an odd number two spins in a row), we multiply the probabilities of each event occurring:
P(odd on first spin) * P(odd on second spin) = (1/2) * (1/2) = 1/4
Therefore, the probability of the spinner landing on an odd number two spins in a row is 1/4, which is not listed in the given answer choices.
There are a total of 8 numbers on the spinner, with 4 odd numbers (1, 3, 5, 7) and 4 even numbers (2, 4, 6, 8).
The probability of landing on an odd number on the first spin is 4 out of 8, or 4/8, which simplifies to 1/2.
Since each spin is independent, the probability of landing on an odd number on the second spin is also 1/2.
To find the probability of both events happening (landing on an odd number two spins in a row), we multiply the probabilities of each event occurring:
P(odd on first spin) * P(odd on second spin) = (1/2) * (1/2) = 1/4
Therefore, the probability of the spinner landing on an odd number two spins in a row is 1/4, which is not listed in the given answer choices.