AP BIOLOGY

HEREDITY

BASICS OF PROBABILITY

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
The probability that two cards drawn with out replacement froma standard pack of cards will both be hearts is
A
B
C
D
Explanation: 

Detailed explanation-1: -To find the probability that both cards drawn out are hearts, multiply the two fractions together: (5213)⋅(5112)=2652156=171.

Detailed explanation-2: -Probability of drawing a 2 = 4/52.

Detailed explanation-3: -Correct answer: Thus, for the first ace, there is a 4/52 probability and for the second there is a 3/51 probability. The probability of drawing both aces without replacement is thus 4/52*3/51, or approximately . 005.

Detailed explanation-4: -n-r)! Let E be event of getting 1 spade and 1 heart. We know that there are 13 spades and 13 hearts in the total 52 cards. ∴ The probability that one card is a spade and the other is a heart is 13/102.

There is 1 question to complete.