The sample space for a roll of two number cubes is shown in the table.
(1,1)|(1,2)|(1,3)|(1,4)|(1,5),(1,6)
(2,1)|(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)|(4,4)|(4,5)|(4,6)
(5,1)|(5,2)|(5,3)|(5,4)|(5,5)|(5,6)
(6,1)|(6,2)|(6,3)|(6,5)|(6,5)|(6,6)
What is the probability that the roll will result in two odd numbers?
(1 point)
•1/9
•1/4****
•1/3
•4/9
5.
The two numbers rolled can be added to get a sum. Find P(sum is even).
(1 point)
•1/4
•15/36
•1/2****
•3/4
yes 9/36 = 1/4
yes half of the table :)
To find the probability that the roll will result in two odd numbers, we need to count the number of outcomes that have two odd numbers.
From the given table, we can see that there are 9 outcomes with two odd numbers: (1,3), (1,5), (3,1), (3,3), (3,5), (5,1), (5,3), (5,5), and (5,5).
Since there are 36 possible outcomes (2 number cubes, each with 6 possible numbers), the probability of rolling two odd numbers is 9/36 = 1/4.
Therefore, the correct answer is 1/4.
To find the probability that the sum is even, we need to count the number of outcomes that have an even sum.
From the given table, we can see that there are 18 outcomes with an even sum: (1,1), (1,3), (1,5), (2,2), (2,4), (2,6), (3,1), (3,3), (3,5), (4,2), (4,4), (4,6), (5,1), (5,3), (5,5), (6,2), (6,4), and (6,6).
Since there are 36 possible outcomes, the probability of rolling a sum that is even is 18/36 = 1/2.
Therefore, the correct answer is 1/2.
To find the probability that the roll will result in two odd numbers, you need to count the number of outcomes where both numbers are odd and divide it by the total number of outcomes.
In the given sample space, there are 36 possible outcomes because there are 6 options for the first number and 6 options for the second number (6 x 6 = 36).
To count the number of outcomes where both numbers are odd, you can look at the table. In the table, there are 9 outcomes where both numbers are odd: (1,1), (1,3), (1,5), (3,1), (3,3), (3,5), (5,1), (5,3), and (5,5).
Therefore, the probability of rolling two odd numbers is 9/36, which simplifies to 1/4.
For the second question, to find the probability that the sum of the two numbers is even, you need to count the number of outcomes where the sum is even and divide it by the total number of outcomes.
Again, in the given sample space, there are 36 possible outcomes.
To count the number of outcomes where the sum is even, you can look at the table. In the table, there are 18 outcomes where the sum is even: (1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,1), (2,2), (2,3), (2,4), (2,5), (2,6), (3,1), (3,2), (3,3), (3,4), (3,5), and (3,6).
Therefore, the probability of the sum being even is 18/36, which simplifies to 1/2.