You roll a die. Find each probability. (a) Rolling a 5 or a number greater than 3 (b) Rolling a number less than 4 or an even number (c) Rolling a 2 or an odd number

a) ½

b) ⅚

c) ⅔

Step-by-step explanation:

a) 5 or greater than 3: 3,5,6

P(5 U >3) = 3/6 = ½

b) less than 4 or even: 1,2,3,4,5

P(<4UEven) = ⅚

c) 2 or odd: 1,2,3,5

P(2UOdd) = 4/6 = ⅔

Step-by-step explanation:

Probability is expressed as

Number of possible outcomes/number of total outcome

a) A die has 6 faces and only one 5. The probability of rolling a 5 is 1/6

The probability of rolling a number greater than 3(4, 5, 6) is 3/6 = 1/2

The events are not mutually exclusive because 5 is common to both. Therefore, The probability of rolling a 5 or a number greater than 3 is

1/6 + 1/2 - 1/6 = 1/2

b) The probability of rolling a number less than 4(1, 2, 3) is 3/6 = 1/2

The probability of rolling an even number(2, 4, 6) is 3/6 = 1/2

The events are not mutually exclusive because 2 is common to both. Therefore, The probability of rolling a number less than 4 or an even number is is

1/2 + 1/2 - 1/6 = 5/6

c) The probability of rolling a 2 is 1/6

The probability of rolling a odd number(1, 3, 5) is 3/6 = 1/2

The events are mutually exclusive because there is no common outcome. Therefore, The probability of rolling a 2 or an odd number is is

1/6 + 1/2 = 4/6 = 2/3