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Answer:
0.40
Step-by-step explanation:
to find out the probability that at least one of a pair of fair dice lands of 5, given that the sum of the dice is 8
Let A = sum of dice is 8
B = one lands in 5
P(B/A) = P(AB)/P(A) by conditional probability
P(AB) = sum is 8 and one is 5
So (5,3) or (3,5)
P(A) = sum is 8.
i.e. (2,6) (2,6) (3,5) (5,3) (4,4)
Required probability
= n(AB)/n(A)
=
Step 1: Find the value of one variable in terms of the other.
Step 2: Substitute the value you just found for this variable in the other equation.
Step 3: Use your new value for the second variable to find the first.
Now that we know the values for a and b we can find the value of 4a+b.
Step 2: Substitute the value you just found for this variable in the other equation.
Step 3: Use your new value for the second variable to find the first.
Now that we know the values for a and b we can find the value of 4a+b.