TRUE or FALSE? An experiment consists of spinning a coin 3 times in succession and recording the outcomes,?

Q1. An experiment consists of spinning a coin 3 times in succession and recording the outcomes, i.e. either heads (H)


or tails (T). (For example, one possible outcome could be (tails, heads, heads), which we denote as (T,H,H).)





A. The sample space S is the set {H,T} .





B. Consider the event E1 “obtain at least two heads”. Then n (E1) = 4.





C. If E2 is the event “obtain the same result on all three spins”, then P (E2) = 1/4.





1. Only A


2. Only B


3. Only C


4. Only A and B


5. Only B and C





Another one ....





Q2. Which of the following statements is/are true?





A. The probability that no spin results in T is greater than the probability that all three spins give the


same result.





B. The probability of not obtaining H is the same as the probability of obtaining only T.





C. If the coin is spun one more time, i.e. if it is spun four times in succession, then there will be 16


possible outcomes.





1. Only A


2. Only B


3. Only C


4. Only A and B


5. Only B and CTRUE or FALSE? An experiment consists of spinning a coin 3 times in succession and recording the outcomes,?
Q1 the sample space is all possible outcomes. In this case it is {TTT,TTH,THH,THT,HHH,HHT,HTT,HTH} A is false.





Look at the sample space for part B. Notice that 4 outcomes contain at least two heads. B is true.








Only 2 of the 8 elements of the sample space have the same result all 3 times. 2/8 = 1/4. C is true.








This would make only B and C the correct choice.








Q2.





A. the probability that no spin results in T is 1/8. The probability that all three spins give the same result is 2/8 or 1/4. This is false





B. not obtaining H would be TTT. This is the same as only obtaining T. True.





C. There would be two more outcomes (H or T) for each of the 8 possible outcomes. 2 * 8 = 16. True.





Once again, Only B and C is the correct choice.TRUE or FALSE? An experiment consists of spinning a coin 3 times in succession and recording the outcomes,?
Q1:


A is true, by the definition of a sample space. This reduces the possible answers to ';1. Only A'; or ';4. Only A and B';.


B is true; the four answers are as follows:


HTH, HHT, THH, HHH


By process of elimination, this means that the answer must be ';4. Only A and B';





Q2:


A asks about the probablity of HHH vs the probability of TTT.


Because the probability of H is equal to the probabitity of T, the probability of HHH is equal to the probability of TTT. This means that A is false.





B asks about the probability of not getting H and the probability of getting only T. Not getting H means only getting T, because they are the only possible outcomes to the experiment. Therefore, they are equal and B is true.





C is true; the outcomes are:


TTTH TTHH HHHT TTTT


TTHT THHT HHTH HHHH


THTT HTTH HTHH HTHT


HTTT THTH THHH HHTT





B and C are true; the answer is 5