Question

Determine the probability of occurence of the following single eventsA head appears in a single toss of a coin

Answer 1

When tossing a coin, there are two possible outcomes: heads or tails.

The sample space is all possible outcomes that can happen. So the sample space of this problem is:

`\mleft\lbrace\text{''heads'', ''tails''}\mright\rbrace`

In order to write the probability of a head appearing, we have the following fraction:

Numerator: number of times the event occurs in the sample space. "Heads" appears 1 time in the sample space, so the numerator of the probability fraction is 1.

Denominator: number of elements in the sample space. There are two elements in the sample space: heads and tails.

Therefore, the probability of the event "a head appears in a single toss of a coin" is given by:

`P=(1)/(2)`