AP BIOLOGY

HEREDITY

BASICS OF PROBABILITY

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
What is the probability of a coin landing on heads twice when it is flipped four times?
A
15/16
B
7/8
C
5/8
D
3/8
Explanation: 

Detailed explanation-1: -Thus the probability is: 2/8=0.25 but the correct answer is 0.375.

Detailed explanation-2: -Hence, there are 6 possible outcomes for the event H . Thus, the probability that that exactly 2 heads appear on tossing a coin four times is 0.375 .

Detailed explanation-3: -The probability of getting two heads on two coin tosses is 0.5 x 0.5 or 0.25. A visual representation of the toss of two coins. The Product Rule is evident from the visual representation of all possible outcomes of tossing two coins shown above.

Detailed explanation-4: -The probability is therefore 1/16. N=4: There is only one possible outcome that gives 4 heads, namely when each flip results in a head. The probability is therefore 1/16. N=1: There are 4 possible outcomes which will have only one coin heads.

Detailed explanation-5: -Hence, the probability of flipping a coin 8 times and getting heads 4 times is 35/128.

There is 1 question to complete.