AP BIOLOGY

HEREDITY

BASICS OF PROBABILITY

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
Which one is the sample space for flipping 3 coins?
A
{H, T}
B
{H1, H2, H3, T1, T2, T3}
C
{HHH, TTT, HTH, THT, TTH, HHT}
D
{HHH, TTT, HTH, THT, TTH, HHT, HTT, THH}
Explanation: 

Detailed explanation-1: -The sample space of a fair coin flip is H, T. The sample space of a sequence of three fair coin flips is all 23 possible sequences of outcomes: HHH, HHT, HTH, HTT, THH, THT, TTH, TTT.

Detailed explanation-2: -Thus, when a coin is tossed three times, the sample space is given by: S = HHH, HHT, HTH, HTT, THH, THT, TTH, TTT

Detailed explanation-3: -A sample space is the set of all possible outcomes of a random experiment. When you toss a coin, there are only two possible outcomes-heads (h) or tails (t) so the sample space for the coin toss experiment is h, t .

Detailed explanation-4: -Three flips of a fair coin Suppose you have a fair coin: this means it has a 50% chance of landing heads up and a 50% chance of landing tails up. Suppose you flip it three times and these flips are independent. What is the probability that it lands heads up, then tails up, then heads up? So the answer is 1/8, or 12.5%.

Detailed explanation-5: -Answer: The probability of flipping a coin three times and getting 3 tails is 1/8.

There is 1 question to complete.