AP BIOLOGY

HEREDITY

BASICS OF PROBABILITY

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
What is the probability of choosing a 4 or 5 from a deck of cards?
A
1/13
B
2/13
C
8/13
D
2/52
Explanation: 

Detailed explanation-1: -Answer and Explanation: There are four 5s in a deck of playing cards. If it is a fair deck, then the probability of picking a 5 is 4 in 52. Reducing this to the lowest fraction, it is 1 in 13.

Detailed explanation-2: -Furthermore, the cards are subdivided into clubs, hearts, diamonds, and spades. As we know, there are 52 cards in a standard deck. This is therefore our total sample space. Thus, the probability of randomly selecting a 4 from a standard 52-card deck is 113 .

Detailed explanation-3: -There are 13 diamonds in the deck, and 4 5’s, one of which is the 5 of diamonds, so there would be 16 chances of picking a diamond or a 5 (13 diamonds plus 3 non-diamond 5’s), out of the 52 cards in a deck, so it seems the odds would be 16/52 or 4/13, which would be a probability of 30.77 percent.

Detailed explanation-4: -There are 52 cards in the standard deck. Thirteen of them are Spades and four of them are 5’s. 52/13 = 1 chance in 4 that you’ll get a spade. 52/4 = 1 chance in 13 that you’ll get a 5.

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