Final answer:
The probability of the given events when rolling a six-sided die.
Step-by-step explanation:
In this case, a six-sided die is rolled. Let's calculate the probability for each event:
(a) The number showing is a 6:
There is only one outcome out of six possible outcomes that shows a 6. Therefore, the probability is 1/6.
(b) The number showing is an even number:
Half of the numbers on the die (2, 4, and 6) are even. So, the probability is 3/6, which can be simplified to 1/2.
(c) The number showing is greater than 3:
There are three numbers on the die that are greater than 3 (4, 5, and 6). So, the probability is 3/6, which can be simplified to 1/2.