A loaded die has probabilities 1/21, 2/21,3/21, 4/21, 5/21, 6/21 of showing 1,2,3,4,5,6.
a) What is the prob of throwing 2 3's in succession?
So, is the answer (3/21)^2?
b) What is the prob of throwing a 4 the first time and not a 4 the second time w/ a die loaded as in a
c) if two dice loaded as in a) are thrown and we know that the sum of the #'s on the faces is >= 10, What is the prob that both are 5's?
We can get 2 6's, 1 6 and 1 5 ,and 2 5's.
So, Out of 36 events, we get the probability to be 2/36 = 1/18
d) How many times must we throw a die loaded as in a, to have a prob > 1/2 of getting an ace?
I dont know what's going on here
e) A die loaded as in a), is thrown twice. What is the prob. that the number on the die is even the first time and >4 the 2nd time?