Two dice are rolled, what is the probability that a 3 turns up on the first die and a factor of nine on the second die?
a. 2/9
b. 1/36
c. 01/12
d. 1/18
a. 2/9
b. 1/36
c. 01/12
d. 1/18
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Answer:
i dont know if letter a? keepsafe
The probability of rolling an even number is
3
6
.
Therefore by the multiplication principle, the probability of both the one and the other event occurring is
1
6
×
3
6
=
1
12
This is when you first roll a 3 and then an even number.
The probability of first rolling an even number and then a 3 is exactly the same.
So the probability of rolling a 3 and an even number (in whatever order) are (adding the chances now):
1
12
+
1
12
=
1
6
The probability of rolling an factor of 9 is 2/3
Therefore by the multiplication principle, the probability of both the one and the other event occurring is
1
6
×
3
6
=
1
12
This is when you first roll a 3 and then an even number.
The probability of first rolling an even number and then a 3 is exactly the same.
So the probability of rolling a 3 and an even number (in whatever order) are (adding the chances now):
1
12
+
1
12
=
1
6