Problema Solution
Throw 8 dice in the air. What is the probability that half will land on 1 and half will land on an even number.
Answer provided by our tutors
P(one die landing on even) = 3/6 = 1/2
P(one die landing on 1) = 1/6
P = the probability that half will land on 1 and half will land on an even number
P = C(8,4) * (1/2)^4 * (1/6)^4
C(8, 4) = 8!/(4!(8 - 4)!) = (5*6*7*8)/(2*3*4) = 70
P = 70*(1/2)^4 * (1/6)^4
P = 0.003376