A tooth-whitening gel is to be tested for effectiveness. A group of 85 adults have volunteered to participate in the study. Of these, 43 are to be given a gel that contains the tooth-whitening chemicals. The remaining 42 are to be given a similar-looking package of gel that does not contain the tooth-whitening chemicals. A standard method will be used to evaluate the whiteness of teeth for all participants. Then the results for the two groups will be compared. (Select all that apply.) A. The remaining 42 adults receive the placebo gel. B. Randomly select 43 adults to be given the treatment gel. C. After the treatment period, compare the whiteness of the 43 treated adults. D. Randomly select 85 adults to be given the treatment gel. E. After the treatment period, compare the whiteness of the two groups. F. A placebo is not being used.
Compound Probability
Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent.
Tree diagram
Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described.
Conditional Probability
By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.
A tooth-whitening gel is to be tested for effectiveness. A group of 85 adults have volunteered to participate in the study. Of these, 43 are to be given a gel that contains the tooth-whitening chemicals. The remaining 42 are to be given a similar-looking package of gel that does not contain the tooth-whitening chemicals. A standard method will be used to evaluate the whiteness of teeth for all participants. Then the results for the two groups will be compared. (Select all that apply.)
A. The remaining 42 adults receive the placebo gel.
B. Randomly select 43 adults to be given the treatment gel.
C. After the treatment period, compare the whiteness of the 43 treated adults.
D. Randomly select 85 adults to be given the treatment gel.
E. After the treatment period, compare the whiteness of the two groups.
F. A placebo is not being used.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
