Question

Some events cannot be predicted with certainty, but we can determine how likely they are. The probability of an event is a measure of the likelihood that the event will take place.

Let’s take flipping a coin as an example. When the coin is flipped, there are two possible results, or outcomes—heads or tails. All possible outcomes of an event are called the event’s sample space, and the number of outcomes in the sample space is the sample size. In the event of flipping a coin, the sample space is {heads, tails} and the sample size is 2.

The probability of an event is represented as a fraction. The numerator of the fraction is the number of times an event occurs, and the denominator is the sample size.

Let’s find the probability of getting heads when a coin is flipped. A coin has two sides, and one of them is heads. So, the number of ways the event occurs is 1, and the number of possible outcomes is 2.

The probability of getting heads is (1/2), or 0.5. What do you think the probability of getting tails is? Why?

Now consider a different event, rolling a die. What is the probability of rolling a two on a die? What is the probability of rolling a multiple of two?

Answer 1

Explanation:

The two outcomes of the toss of a coin are heads or tails. For any individual toss of the coin, the outcome will be either heads or tails.

Answer 2

the probability of getting tails is 1/2 the same reason as of heads

probability of 2 on a die: 1/6, multiple of 2: 1/2

Explanation:

The numbers that can appear on a dice are:

{1,2,3,4,5,6}, so if we want 2 only there is only one in the outcomes so 1/6

now if we want multiples of 2 there are 3 of them in the outcomes {2,4,6}

so the probability 3/6 = 1/2