Suppose X = (X1, X2, X3) has a multinomial distribution with size n = 10 and probabilities p1 = .3, p2 = .4, p3 = .3. Use a simulation with sample (not rmultinom) to show that P (X1 = 3, X2 = 4, X3 = 3) 0.0784.

Confirm your results using dmultinom.