+11 You are given a fair six-sided dice with the numbers 1 – 6 on the 6 sides. You roll the dice six times. What is the probability of rolling a 5 or 6 at least 5 times? Round your answer to 2 decimal places.
+128474 P(5 or 6) = 2/6 = 1/3
P ( rolling 5 or 6 five times ) = C(6, 5) (1/3)^5 (2/3)
P( roling 5 or 6 six times) = (1/3)^6
So....the combined probability is
C(6,5) (1/3)^5 (2/3) + (1/3)^6 = 13 / 729 ≈ .02
