Answer:
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
