A pair of fair dice is cast. What is the probability that the sum of the numbers falling uppermost is less than 8, if it is known that one of the numbers is a 4? Give your answer in fraction form.

What will be an ideal response?


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Mathematics

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Solve the problem.To determine the number of fish in a lake, researchers caught and tagged 220 of them. In a later sample of 72 fish, the researchers found that 24 were tagged. Estimate the total number of fish in the lake.

A. 660 fish B. 380,160 fish C. 73 fish D. 8 fish

Mathematics

Perform the operation indicated. ? 

A.
B.
C.
D.

Mathematics

Solve the equation on the interval 0 ? ? < 2?.2 sin2 ? = sin ?

A.
B.
C.
D.

Mathematics

Solve the system of equations.

A. {(-1, 2, 5)} B. {(2, -1, 5)} C. {(-1, 5, 2)} D. {(2, 5, -1)}

Mathematics