Question

You roll a​ six-sided die. Find the probability of each of the following scenarios.

​(a) Rolling a

55

or a number greater than 33​(b) Rolling a number less than

44

or an even number​(c) Rolling a

44

or an odd number

​(a)

​P(55

or

numbergreater than>33​)equals=nothing

​(Round to three decimal places as​ needed.)

Answer 1

a)

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

A: Event of rolling a five = { 5}

B: Event of number greater than 3 = { 4 , 5 , 6 }

A and B = { 5 }

P(5 or number > 3 ) = P(5) + P(number greater than 3) - P( 5 and number greater than 3)

= 1/5 + 3/5 - 1/5

= 3/5

= 0.600

b)

A: Event of rolling number less than 4 = { 1 , 2 , 3 }

B: Event of even numbers = { 2 , 4 , 6, }

A and B = {2}

P(less than 4 or even numbers ) = {2}

P(Number less than 3 or even) = P(Number less than 3) + P(Even) - P(Less than 3 or even)

= 3/6 + 3/6 - 1/ 6

= 5/6

= 0.833