What is \text{P(roll less than 4})P(roll less than 4)start text, P, left parenthesis, r, o, l, l, space, l, e, s, s, space, t, h, a, n, space, 4, end text, right parenthesis? If necessary, round your answer to 222 decimal places.

Respuesta :

Incomplete question:

A fair die is rolled one. What is P(roll less than 4)? If necessary, round your answer to 2 decimal places.

Answer:

P(roll less than 4) = 0.50

Step-by-step explanation:

First, we need to list the sample space.

[tex]S = \{1,2,3,4,5,6\}[/tex]

From the above, we have that:

[tex]n(S) = 6[/tex] i.e. total rolls

Represent Rolls less than 4 with L4; So,

[tex]L4 = \{1,2,3\}[/tex]

[tex]n(L4) = 3[/tex] i.e. number of rolls less than 4

The required probability is calculated as:

[tex]Probability = \frac{n(LA)}{n(S)}[/tex]

[tex]Probability = \frac{3}{6}[/tex]

[tex]Probability = 0.50[/tex]

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