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 NOT a face card?
A
52/52 or 1
B
12/52 or 3/13
C
40/52 or 10/13
D
13/52 or 1/4
Explanation: 

Detailed explanation-1: -In a deck, there are 12 face cards (4 kings, 4 queens, and 4 jacks). Thus, there are (52–12) non-face cards. Thus, the probability of getting a non-face card is the number of non-face cards/number of cards in a deck, which is 40/52 or 10/13.

Detailed explanation-2: -Therefore, there are 12 Face cards in total (6 red and 6 black), 4 Aces. 4 Kings (2 red and 2 black), 4 Queens (2 red and 2 black). Therefore, the probability of finding a non-face card in a well shuffled deck of 52 playing cards is 1013 .

Detailed explanation-3: -1 Expert Answer Hence, there are a total of 12 face cards in a standard deck. The remaining 40 cards are not face cards, so the probability of not drawing a face card is 40/52 = 10/13, a very high probability.

Detailed explanation-4: -There are 26 black cards and 12 face cards in total. However, of those 26 black cards, there are 6 face cards. That means there are 26+12-6 = 32 cards in total that are either a black card or a face card, but not both. That means the answer to the question is 32/52 = 8/13.

Detailed explanation-5: -∴ The probability of getting a face card from a well-shuffled pack of 52 cards = number of favourable outcomestotal number of outcomes = 1252 = 313.

There is 1 question to complete.