#### Statistics and **Probability**; Statistics and **Probability** questions and answers; Correct A standard six-sided **die is rolled What is the probability of rolling** a **number greater than** or equal to **5**? Express your answer as a simplified fraction or a decimal rounded to four decimal places Tables Key Answer How to enter your answer. Therefore, the total **number** of elementary events associated with the random experiment of throwing **a die** is 6. a) Let A denote the **probability** of getting an even **number**. Now, event A will be said to have occurred if we get any one of 2, 4 or 6 as an outcome. b) Let A denote the **probability** of getting a multiple of **3**.. So the **probability of rolling** 1/7 would be 0%. There is no seven, so that would be zero, probably **rolling** out **number**. The odd **numbers**. Air one, three and five. So that would be three out of the six, which we can reduce to 1/2 which we can also express as 0.**5**, which we can also express as 50% **probability rolling** a **number** less **than** seven.

**die is rolled**. (a)

**What is the probability**that the

**number**on top is a

**3**. (Give your answer correct to two decimal places.) ... The

**number**showing is an even

**number**; The

**probability**is ? (c) The

**number**showing is

**greater than 5**; The

**probability**is? ... fair

**number**cube

**is rolled**100 times as part of an experiment. The frequency of the. Total ways in which a 6-sided

**die**can be

**rolled**three times = 6 x 6 x 6 = 216 There are three

**numbers greater than**4 i.e.

**5**and 6

**Number**of outcomes in which all

**3**. 34.A

**die**

**is**

**rolled**repeatedly and summed. What can you say about the expected

**number**

**of**rolls until the sum is

**greater**than or equal to n? 35.A

**die**

**is**

**rolled**repeatedly and summed. Show that the expected

**number**

**of**rolls until the sum is a multiple of nis n. 36.A fair, n-sided

**die**

**is**

**rolled**and summed until the sum is at least n.