Answer:
5/23
Step-by-step explanation:
23 students, 18 females so 5 males
In this case, the probability of a male student being chosen at random from the class is 5/23.
The probability of an event is the ratio of the number of cases favorable to it to the total number of cases possible when nothing leads us to expect any of these cases to occur more than any other, making them equally possible for us.
i.e. probability of an event = number of the possible outcome of an event/number of total outcomes in the sample space
An event is a set of outcomes of an experiment to which a probability is assigned in probability theory.
A sample space is a set of possible outcomes from a random experiment.
Here, the random experiment, in this case, is "a student chosen at random from the class". There are 23 students in the class. So, the number of total outcomes in the sample space is 23. Let us consider the event as “the randomly chosen student is a male”.
Since there are 18 female students in the class, so the number of male students is (23-18)=5.
i.e. the number of the possible outcome of this event is 5.
Therefore the classical definition of probability, we can conclude that
Required Probability = 5/23
Hence the probability that a student chosen randomly from the class is a male is 5/23.
Know more about classical probability here -
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