Mathematics, 16.11.2019 01:31 boo3972

Suppose you roll a fair six-sided die. then you roll a fair eight-sided die. match each probability to its correct value.
a) the probability that both numbers are odd numbers and their product is greater than 10
b) the probability that the second number is twice the first number
c) the probability of getting numbers whose sum is a multiple of 4
d) the probability that the sum of the two numbers is greater than 11
e) the probability that the second number rolled is less than the first number
5/16 arrowright 1/8 arrowright 1/12 arrowright 1/4 arrowright 5/48 arrowright

Answers: 3

Show answers

Answers

Answer from: denym58

A) matches $\frac{5}{48}$

B) matches $\frac{1}{12}$

C) matches $\frac{1}{4}$

D) matches $\frac{1}{8}$

E) matches $\frac{5}{16}$

Step-by-step explanation:

The sample space for the roll of six sided die and eight sided die:

(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (1,7), (1,8)

(2,1), (2,2), (2,3), (2,4), (2,5), (2,6), (2,7), (2,8)

(3,1), (3,2), (3,3), (3,4), (3,5), (3,6), (3,7), (3,8)

(4,1), (4,2), (4,3), (4,4), (4,5), (4,6), (4,7), (4,8)

(5,1), (5,2), (5,3), (5,4), (5,5), (5,6), (5,7), (5,8)

(6,1), (6,2), (6,3), (6,4), (6,5), (6,6), (6,7), (6,8)

Therefore, the total number of outcomes (Sample space) = 48

Probability $=\frac{Number Of Ways Event Can Occur}{Sample Space}$

A) The possible ways of obtaining both numbers are odd numbers and their product is greater than 10 are: (3,5), (3,7), (5,3), (5,5), (5,7)

Total number of possible ways = 5

Sample space = 48

The probability that both numbers are odd numbers and their product is greater than 10:

$=\frac{5}{48}$

B) The possible ways of obtaining second number is twice the first number are: (1,2), (2,4), (3,6), (4,8)

Total number of possible ways = 4

Sample space = 48

The probability that the second number is twice the first number:

$=\frac{4}{48}$ $=\frac{1}{12}$

C) The possible ways of getting numbers whose sum is a multiple of 4 are: (1,3), (1,7), (2,2), (2,6), (3,1), (3,5), (4,4), (4,8), (5,3), (5,7), (6,2), (6,6)

Total number of possible ways = 12

Sample space = 48

The probability of getting numbers whose sum is a multiple of 4:

$=\frac{12}{48}$ $=\frac{1}{4}$

D) The possible ways of getting the sum of the two numbers is greater than 11 are: (4,8), (5,7), (5,8), (6,6), (6,7), (6,8)

Total number of possible ways = 6

Sample space = 48

the probability that the sum of the two numbers is greater than 11:

$=\frac{6}{48}$ $=\frac{1}{8}$

E) The possible ways of getting the second number rolled is less than the first number are: (1,2), (1,3), (1,4), (1,5), (1,6), (2,3), (2,4), (2,5), (2,6), (3,4), (3,5), (3,6), (4,5), (4,6), (5,6)

Total number of possible ways = 15

Sample space = 48

The probability that the second number rolled is less than the first number:

$=\frac{15}{48}$ $=\frac{5}{16}$

Answer from: Quest

2? if not the correct answer you might need to provide more information

step-by-step explanation:

Answer from: Quest

Ifound this on google “a skewed (non-symmetric) distribution is a distribution in which there is no such mirror-imaging. a "skewed right" distribution is one in which the tail is on the right side. a "skewed left" distribution is one in which the tail is on the left side. the above histogram is for a distribution that is skewed right.” i hope this you for what your looking for

Another question on Mathematics

Mathematics, 21.06.2019 18:00

10 ! a train starts from grand city and travels toward belleville 388 miles away. at the same time, a train starts from belleville and runs at the rate of 47 miles per hour toward grand city. they pass each other 4 hours later. find the rate of the train from grand city.

Answers: 1

Answer

Mathematics, 21.06.2019 18:00

Find the perimeter of the figure shown above. a. 40 cm c. 52 cm b. 60 cm d. 75 cm select the best answer from the choices provided

Answers: 1

Answer

Mathematics, 21.06.2019 21:30

Hannah paid $3.20 for 16 ounces of potato chips. hank paid $3.23 for 17 ounces of potato chips. who paid less per ounces?

Answers: 1

Answer

Mathematics, 22.06.2019 01:00

Is the ordered pair (-10, 7) a solution to the equation y = 17 – x? yes or no