Uniform and Non-Uniform Probability
A regular deck of playing cards has 26 red cards and 26 black cards. There are 12 face cards in a deck.
Question 1
Which is an example of non-uniform probability?
Responses
A not drawing a red card from the decknot drawing a red card from the deck
B drawing a face card from the deckdrawing a face card from the deck
C drawing a red card from the deckdrawing a red card from the deck
D drawing a back card from the deck
drawing a face card from the deck
D drawing a back card from the deck
Because the deck has an equal number of red and black cards, the probability of drawing a red card is the same as the probability of drawing a black card. However, the probability of drawing a back card is different since there are no back cards in a standard deck of playing cards. This non-uniform probability makes option D an example of non-uniform probability.
The correct answer is B) drawing a face card from the deck. This is an example of non-uniform probability because face cards make up a specific subset of the deck, and the probability of drawing a face card is different from drawing any other type of card.
To determine the example of non-uniform probability, we must first understand what uniform probability means. Uniform probability refers to a situation where all outcomes have an equal chance of occurring.
In this case, we have a deck of playing cards with 26 red cards, 26 black cards, and 12 face cards.
Let's evaluate the given responses:
A) "Not drawing a red card from the deck" - This is an example of non-uniform probability because the deck has an uneven distribution of colors (26 red cards and 26 black cards). The probability of not drawing a red card is different from not drawing a black card.
B) "Drawing a face card from the deck" - This is not an example of non-uniform probability. The deck has 12 face cards, which are spread evenly among the colors. Each face card has an equal chance of being drawn, making it a uniform probability.
C) "Drawing a red card from the deck" - This is an example of non-uniform probability because the deck's distribution of colors is uneven. There are 26 red cards, so the probability of drawing a red card is different from drawing a black card.
D) "Drawing a black card from the deck" - This is not an example of non-uniform probability. Similarly to option C, there are 26 black cards in the deck. Each black card has an equal chance of being drawn, making it a uniform probability.
Therefore, the example of non-uniform probability from the given options is option A: not drawing a red card from the deck.