There are a total of 6 possible players that can be chosen for the forward position, and 4 possible players that can be chosen for the guard position.
The probability that Matthew is chosen as one of the forwards is 1 out of 6, or 1/6.
The probability that Tony is chosen as one of the guards is 1 out of 4, or 1/4.
Therefore, the probability that both Matthew and Tony are chosen for their respective positions is (1/6) * (1/4) = 1/24.
So, the probability that the two brothers will end up in the starting lineup is 1/24.
The starting lineup for a basketball team is to consist of two forwards and three guards. Two brothers are on the team. Matthew is a forward and Tony a guard there are four forwards and six guards from which to choose the lineup if the starting players are chosen at random. What is the probability that the two brothers will end up in the starting lineup?
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