Question

A coin tossed three times. An out come is repressed by a string of the sort HTT ( meaning a head on the first toss, followed by two tails.) The 8 outcomes are listed in the table below. Note that each outcome has the same probability. For each of the three events in the table, check the outcome(s) that are contained in the event. Then, in the last column, enter the probability of the events.

Answer 1

Solution:

The probability of an event is expressed as

$P(event)=\frac{number\text{ of favorable event}}{number\text{ of possible event}}$

Given that the coin is tossed 3 times and the outcomes are shown below:

To check the outcome(s) that are contained in the event, and find the probability,

we thus have: