You roll 4 fair, distinguishable, six-sided dice. What is the probability of rolling : a. 3 even and 1 odd numbers
b. 2 even and 2 odd numbers

a)0.25

b)0.375

Step-by-step explanation:

Possible outcomes when dice are rolled : 1 ,2 ,3,4,5 ,6

Even= 2,4,6  

Odd = 1 ,3 , 5

Probability of getting even =

Probability of getting odd =

4 dices are rolled together

a)P(3 even and 1 odd numbers)

P(3 even and 1 odd numbers)=

P(3 even and 1 odd numbers)=

b)P(2 even and 2 odd numbers)

P(2 even and 2 odd numbers)=

P(3 even and 1 odd numbers)==0.375