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A probability experiment consists of rolling a 6-sided die. Find the probability of the event below.rolling a number less than 3The probability is(Type an integer or decimal rounded to three decimal places as needed.)

Sagot :

The sample space while rolling a die is

since there are 6 possible outcomes, the probability of obtaining any side of the die is

[tex]P(\text{one side)=}\frac{1}{6}[/tex]

Then, the probability to have a number less than 3 is

[tex]P(\text{side 1)+P(side 2)=}\frac{1}{6}+\frac{1}{6}[/tex]

since

[tex]\frac{1}{6}+\frac{1}{6}=\frac{2}{6}=\frac{1}{3}[/tex]

we have

[tex]P(\text{side 1)+P(side 2)=}\frac{1}{3}[/tex]

that is, the probability to get a number less than 3 is 1/3, which is equal to 0.333.

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