AP BIOLOGY

HEREDITY

BASICS OF PROBABILITY

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
Given a standard deck of cards, what is the probability of randomly choosing an eight?
A
1/4
B
1/3
C
1/2
D
1/13
Explanation: 

Detailed explanation-1: -Expert-Verified Answer There are 4 cards of number eight in a deck of 52 cards, namely: 8 Spades, 8 Diamond, 8 Clubs, and 8 Hearts. So the probable outcomes are 4 and the total cards are 52. So, x 100 = 1/13. So there is a 1/13 chance for getting an eight, i.e, for every 13 cards, one card will be an eight.

Detailed explanation-2: -A single card is drawn from a deck. The probability of selecting a heart or a 8 is 4/13.

Detailed explanation-3: -Hence for drawing a card from a deck, each outcome has probability 1/52. The probability of an event is the sum of the probabilities of the outcomes in the event, hence the probability of drawing a spade is 13/52 = 1/4, and the probability of drawing a king is 4/52 = 1/13.

Detailed explanation-4: -1 Expert Answer There are four 8s in a deck of 52 cards, and there are four 6s. So, if we draw one card, there are a total of eight cards that will be either an 8 or a 6. The probability is just 8/52, which simplifies to 2/13, or about 0.154, a little over a 15% chance.

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