Which describes a uniform probability model?
Responses
A drawing a red or black card from a deck of cardsdrawing a red or black card from a deck of cards
B selecting a sock from 5 black socks and 10 white socksselecting a sock from 5 black socks and 10 white socks
C selecting a ball from 2 red balls and 3 yellow ballsselecting a ball from 2 red balls and 3 yellow balls
D equally divided five section spinner with three colorsequally divided five section spinner with three colors
D. Equally divided five section spinner with three colors.
wrong
I apologize for the mistake. The correct answer is D. Equally divided five section spinner with three colors. A uniform probability model is one where each outcome has an equal probability of occurring, and in a spinner with equally divided sections, each section has an equal chance of landing. This is an example of a uniform probability model.
why
In a uniform probability model, all possible outcomes have an equal chance of occurring. In the case of a spinner with equally divided five sections, each section has an equal probability of being landed on. Since each section is equally likely to be the outcome, this is a uniform probability model. It is important to note that the other options (drawing a card, selecting a sock, and selecting a ball) do not have equally likely outcomes, since there are different numbers of cards, socks, and balls of different colors. Therefore, these options do not represent a uniform probability model.
A uniform probability model is one in which each possible outcome has an equal chance of occurring.
Looking at the given options:
A. Drawing a red or black card from a deck of cards does not describe a uniform probability model because the probabilities of drawing a red card and a black card are not equal.
B. Selecting a sock from 5 black socks and 10 white socks does not describe a uniform probability model because the probabilities of selecting a black sock and a white sock are not equal.
C. Selecting a ball from 2 red balls and 3 yellow balls does not describe a uniform probability model because the probabilities of selecting a red ball and a yellow ball are not equal.
D. Equally dividing a five-section spinner with three colors describes a uniform probability model because each color has an equal chance of being selected. Each section has a probability of 1/5 of being selected. Therefore, D is the correct answer.