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 GIVEN THAT it is a black card? GIVEN THAT changes the denominator!!
A
2/26 or 1/13
B
2/52 or 1/26
C
2/13
D
2/28 or 1/14
Explanation: 

Detailed explanation-1: -What is the probability that the card is an eight given that it is a black suit? There is one eight in each suit, and there is an integral number of suits in the deck, with each suit containing 13 cards. So, obviously, the probability is 1/13.

Detailed explanation-2: -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-3: -The probability of drawing a black face card from a deck of 52 is 1/2.

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.

There is 1 question to complete.