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…

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asked Jul 27, 2021 160k views

2 Answers

Bob Van Zant · Answer 1 · 2021-08-01T03:19:06+0000

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

Explanation:

First, we need to list the sample space.

$S = \{1,2,3,4,5,6\}$

From the above, we have that:

n(S) = 6 i.e. total rolls

Represent Rolls less than 4 with L4; So,

$L4 = \{1,2,3\}$

n(L4) = 3 i.e. number of rolls less than 4

The required probability is calculated as:

Probability = (n(LA))/(n(S))

Probability = (3)/(6)

Probability = 0.50