A dice has 6 faces. 2 faces are colored in blue, 3 faces are colored in red and 1 is green. The dice is rolled 4 times. What is the probability of the dice to show: a) blue, red, red, green (in this order); b) The same colors but in any order?

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Answer 1 · 2018-02-14T12:33:51

a) 1/24
b) 49/648

a) Since rolling dices are independent events, we combine probability by multiplying them.

#2/6#x#3/6#x#3/6#x#1/2#=#1/24#

b) There are 3 colors, hence the probability of rolling individual colors is just its probability to the power of 4.

#(2/6)^4#+#(3/6)^4#+#(1/6)^4#= #49/648#