The ratio of the number of outcomes favourable for the event to the total number of possible
Question:
The ratio of the number of outcomes favourable for the event to the total number of possible outcomes is termed as probability. In other words, a measure of the likelihood of an event (or measure of chance) is called probability. The basic terms involved in probability are listed below:
Experiment is one of several possible outcomes that are obtained from any process.
Outcome is the possible results of a trail in an experiment are called as outcomes.
Sample space is the possible outcomes of the experiment.
Events are the subsets of the sample space.
Example 1:
Consider an experiment of playing cards.
The shapes in the deck of cards are listed below:
Obtain the sample space for a deck of cards.
Each shape in the deck of cards has numbers from 2 to 10, Ace (A), Jack (J), Queen (Q), and King (K). Therefore, the number of cards in each type is 13. Thus, the total number of cards is
.
Sample events are as follows:
N : Drawn card is a 5.
S : Drawn card is a spade.
Probability line:
The value of probability lies between 0 and 1.
Consider an experiment of tossing a fair coin three times.
If tossing a fair coin three times, then the probability of getting exactly two head is obtained below:
The sample space for tossing a fair coin three times is, Thus, the probability of getting exactly two head is,
Modeling the Dynamics of Life Calculus and Probability for Life Scientists
ISBN: 978-0840064189
3rd edition
Authors: Frederick R. Adler