Probability questions =S (1 Viewer)

[qqmore]

An unbiased dice is thrown 6 times. Find the probability that the 6 scores obtained will:

a) Have a product which is an even number.

b) Consist of exactly two 6's and 4 odd numbers.

c) Be such that a 6 occurs only on the last throw and exactly three of the first five throws result in odd numbers.





=S any help will be greatly apprecipated.

thanks.

 

[Affinity]

35/36 (you just need 1 even number)
(6 choose 2) (1/6)^2 (1/2)^4 (pick where the 6 goes then multiply the probabilities)
1/6 * (5 choose 3)(1/2)^3 (1/3)^2

 

[sicmacao]

An unbiased dice is thrown 6 times. Find the probability that the 6 scores obtained will:

a) Have a product which is an even number.

b) Consist of exactly two 6's and 4 odd numbers.

c) Be such that a 6 occurs only on the last throw and exactly three of the first five throws result in odd numbers.





=S any help will be greatly apprecipated.

thanks.

a) P(even) = 1 - P(odd in all six throws) = 1 - (1/2)^6 = 63/64