Respuesta :
A)the probability that both numbers
are greater than 6 if the same
number can be chosen twice
The combinations in which both numbers are greater than 6 are:
first number second number
7 7
7 8
7 9
8 7
8 8
8 9
9 7
9 8
9 9
Those are 3 * 3 different combinations = 9 outcomes.
The total number of possible outcomes are 9*9 = 81
So, the probability is 9 / 81 = 1 /9
B) the probability that both numbers
are less than 7 if the same
number can be chosen twice
The combinations in which both numbers are less than 7 are:
First number 1, 2, 3, 4, 5 and 6: 6 outcomes
Second number: 1, 2, 3, 4, 5 and 6: 6 outcomes
Number of combinations in which both numbers are less than 7: 6 * 6 = 36.
Total number of possible combinations of outcomes : 81
Probability = 36 / 81 = 4 / 9
C)the probability that both numbers
are odd numbers less than 6 if the
same numbers cannot be chosen
twice
The odd numbers less than 6 are 1, 3 and 5
First roll second roll
1 3
1 5
3 1
3 5
5 1
5 3
So they are 6 possible combinations of odd number less than 6, given that the same number cannot be chosen twice.
In this case the total number of outcomes is not 9 * 9 but 9 * 8 = 72 (becasue the second time there are only 8 possible numbers)
The probability is 6 / 72 = 1 / 12
D) the probability that both numbers
are even numbers if the same
numbers cannot be chosen twice
The even numbers the first time are 2, 4, 6 and 8 = 4 different numbers.
The second time you have one less even number = 3.
The number of combinations are 4 * 3 = 12
And the probability is 12 / 72 = 1 / 6
Pairing questions with answers:
A -> 1/9
B -> 4/9
C-> 1/12
D-> 1/6
are greater than 6 if the same
number can be chosen twice
The combinations in which both numbers are greater than 6 are:
first number second number
7 7
7 8
7 9
8 7
8 8
8 9
9 7
9 8
9 9
Those are 3 * 3 different combinations = 9 outcomes.
The total number of possible outcomes are 9*9 = 81
So, the probability is 9 / 81 = 1 /9
B) the probability that both numbers
are less than 7 if the same
number can be chosen twice
The combinations in which both numbers are less than 7 are:
First number 1, 2, 3, 4, 5 and 6: 6 outcomes
Second number: 1, 2, 3, 4, 5 and 6: 6 outcomes
Number of combinations in which both numbers are less than 7: 6 * 6 = 36.
Total number of possible combinations of outcomes : 81
Probability = 36 / 81 = 4 / 9
C)the probability that both numbers
are odd numbers less than 6 if the
same numbers cannot be chosen
twice
The odd numbers less than 6 are 1, 3 and 5
First roll second roll
1 3
1 5
3 1
3 5
5 1
5 3
So they are 6 possible combinations of odd number less than 6, given that the same number cannot be chosen twice.
In this case the total number of outcomes is not 9 * 9 but 9 * 8 = 72 (becasue the second time there are only 8 possible numbers)
The probability is 6 / 72 = 1 / 12
D) the probability that both numbers
are even numbers if the same
numbers cannot be chosen twice
The even numbers the first time are 2, 4, 6 and 8 = 4 different numbers.
The second time you have one less even number = 3.
The number of combinations are 4 * 3 = 12
And the probability is 12 / 72 = 1 / 6
Pairing questions with answers:
A -> 1/9
B -> 4/9
C-> 1/12
D-> 1/6
Answer:
the probability that both numbers are odd numbers less than 6 if the same numbers cannot be chosen twice. 1/12
the probability that both numbers are less than 7 if the same number can be chosen twice. 4/9
the probability that both numbers are even numbers if the same numbers cannot be chosen twice 1/6
the probability that both numbers are greater than 6 if the same number can be chosen twice 1/9
Step-by-step explanation:
