a 6-sided die is rolled . The set of equally likely outcomes is {1,2,3,4,5,6}. Find the...

Question

Question

a 6-sided die is rolled . The set of equally likely outcomes is {1,2,3,4,5,6}. Find the probability of rolling a number less than 10.

Answer 1

Answer #1

All the numbers on the die: {1, 2, 3, 4, 5, 6} are less than 10 and all of them are equally likely. Therefore 1 is the required probability here.

(because it is always true )

Answer 2

Similar Homework Help Questions

A 10 sided dice is rolled once and assumes that all outcomes are equally likely to...

A 10 sided dice is rolled once and assumes that all outcomes are equally likely to occur. Let A denote the event that an even number will be observed when rolling the die. what is the probability of Event A occuring?
A single 6-sided die is rolled twice. The set of 36 equally likely outcomes is {(1,1),...

A single 6-sided die is rolled twice. The set of 36 equally likely outcomes is {(1,1), (1,2), (1,3), (1,4), left parenthesis 1 comma 5 right parenthesis comma(1,5), left parenthesis 1 comma 6 right parenthesis comma(1,6),left parenthesis 2 comma 1 right parenthesis comma(2,1),left parenthesis 2 comma 2 right parenthesis comma(2,2),(2,3), (2,4), (2,5), (2,6), (3,1), (3,2), (3,3), (3,4), (3,5), (3,6), (4,1), (4,2), (4,3),left parenthesis 4 comma 4 right parenthesis comma(4,4),left parenthesis 4 comma 5 right parenthesis comma(4,5),left parenthesis 4 comma 6 right...
A single die is rolled twice. The 36 equally likely outcomes are shown to the right.

A single die is rolled twice. The 36 equally likely outcomes are shown to the right. Find the probability of getting two numbers whose sum is 2. The probability of getting two numbers whose sum is 2 is (Type an integer or a simplified fraction.)

We roll a fair 8-sided die five times. (A fair 8-sided die is equally likely to...

We roll a fair 8-sided die five times. (A fair 8-sided die is equally likely to be 1, 2, 3, 4, 5, 6, 7, or 8.) (a) What is the probability that at least one of the rolls is a 3? (b) Let X be the number of different values rolled. For example, if the five rolls are 2, 3, 8, 8, 7, then X = 4 (since four different values were rolled: 2,3,7,8). Find E[X].
A coin is tossed and a six-sided die numbered 1 through 6 is rolled

A coin is tossed and a six-sided die numbered 1 through 6 is rolled. Find the probability of tossing a head and then rolling a number greater than 2. The probability of tossing a head and then rolling a number greater than 2 is _______ (Round to three decimal places as needed.)
7. (3 points) Given a fair 6-sided die. Each time the die is rolled, the probabilities...

7. (3 points) Given a fair 6-sided die. Each time the die is rolled, the probabilities of rolling any of the numbers from 1 to 6 are all equal. 1) If it is rolled once and let A be the event of rolling a number larger than 3 and B be the event of rolling an odd number. What is P(AV B)? 2) If it is rolled three times, what is the probability that the same number shows up in...

1. A single 6-sided die is rolled. What is the probability of each outcome? What is...

1. A single 6-sided die is rolled. What is the probability of each outcome? What is the probability of rolling an even number? What is the probability of rolling an odd number? 2. Two 6-sided dice are rolled. Write the number of possible of rolling dice that add up to (a) 4, (b) 6 and (c) 8.
Test: 11p1 Test Submit Test This Question: 1 pt 15 of 20 (5 complete)I This Test:...

Test: 11p1 Test Submit Test This Question: 1 pt 15 of 20 (5 complete)I This Test: 20 pts possible A 12-sided die is rolled. The set of equally likely outcomes is (123,4,5,6,7,8,9,10,11,12). Find the probability of rolling a number less than 10 The probability of rolling a number less than 10 is Type an integer or a simplified fraction.) of in m Enter your answer in the answer box do
A single six-sided die, whose faces are numbered 1 to 6, is rolled n times. The...

A single six-sided die, whose faces are numbered 1 to 6, is rolled n times. The die is fair, each face is equally likely to land upward when the die is rolled. Let X be the number of times that the number on the upward face of the die is 1. Find the mean and the standard deviation of the random variable X.

If we roll a red 6-sided die and a green 6-sided die (both are fair dice...

If we roll a red 6-sided die and a green 6-sided die (both are fair dice with the numbers 1-6 equally likely to be rolled), what is the probability that we get (i) A 5 on the green die AND a 3 on the red die? (ii) A 5 on the green die OR a 3 on the red die? (iii) A 5 on the green die GIVEN we rolled a 3 on the red die?