Question

two coins are tossed. assume that each event is equally likely to occur.
a) use the counting principle to determine the number of sample points in the sample space.
b) construct a tree diagram and list the sample space.
c) determine the probability that no tails are tossed.
d) determine the probability that exactly one tail is tossed.
e) determine the probability that two tails are tossed.
f) determine the probability that at least one tail is tossed.
a) there is/are sample point(s) in the sample space.

Explanation:

Step1: Apply counting principle

When tossing a coin, there are 2 possible outcomes (head - \(H\) or tail - \(T\)). For two - coin tosses, by the counting principle (if one event has \(m\) outcomes and another independent event has \(n\) outcomes, then the combined event has \(m\times n\) outcomes), here \(m = n=2\). So the number of sample points \(N=2\times2\).

Step2: Calculate the value

\(N = 4\)

Answer:

4