Which describes a uniform probability model?
Responses
A equally divided five section spinner with three colorsequally divided five section spinner with three colors
B drawing a red or black card from a deck of cardsdrawing a red or black card from a deck of cards
C selecting a sock from 5 black socks and 10 white socksselecting a sock from 5 black socks and 10 white socks
D selecting a ball from 2 red balls and 3 yellow balls
A equally divided five section spinner with three colors
A uniform probability model is one in which each outcome has an equal probability of occurring.
Among the given options, the example that best describes a uniform probability model is option A: "equally divided five section spinner with three colors." In this case, each section of the spinner is equally likely to be landed on, and there are three different colors, implying equal probabilities for each color.
A uniform probability model refers to a situation where all possible outcomes have an equal chance of occurring. To determine which response describes a uniform probability model, we need to analyze the given options.
Option A: equally divided five section spinner with three colors
This option does not describe a uniform probability model since not all colors have an equal chance of being selected. It implies that one color may have a greater probability than the others.
Option B: drawing a red or black card from a deck of cards
This option does describe a uniform probability model. In a typical deck of cards, there are 26 red cards and 26 black cards. Since there is an equal number of each color, the chance of drawing a red or black card is equal.
Option C: selecting a sock from 5 black socks and 10 white socks
This option does not describe a uniform probability model since there is a higher probability of selecting a white sock than a black sock. The ratio of black socks to white socks is not equal.
Option D: selecting a ball from 2 red balls and 3 yellow balls
This option does not describe a uniform probability model since there is a higher probability of selecting a yellow ball than a red ball. The ratio of red balls to yellow balls is not equal.
Therefore, the correct response that describes a uniform probability model is Option B: drawing a red or black card from a deck of cards.