The probability that a randomly selected person will have red hair for this case is obtained being 1/2 (in fraction form) or 0.5 (in decimal form).
How to calculate the probability of an event?
Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.
Then, suppose we want to find the probability of an event E.
Then, its probability is given as
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]
where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.
For this case, we're given that:
- Number of people from which selection is done = 6
- Total number of people of out of those 6 people having red hairs = 3
- One person is selected in random.
We can assume that all the people are equally likely to get selected for this case as selection was done randomly, so all of the 6 people was likely to get chosen without bias.
Now, let we take:
E = event of selecting a red hair person
Then, the number of ways a selection ends up making E happen = 3 (as there are 3 people with red hair, so any of those 3 getting selected will make E happen).
Total number of ways selection can be done = 6 (as selection is done from those 6 people).
Thus, we get:
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)} = \dfrac{3}{6} = \dfrac{1}{2} = 0.5[/tex]
Thus, the probability that a randomly selected person will have red hair for this case is obtained being 1/2 (in fraction form) or 0.5 (in decimal form).
Learn more about probability here:
brainly.com/question/1210781
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