There are two questions that I am having problems with.
The first one is this one:
Event A: an even number turns up Event B: a 5 or 6 turns up
A die is rolled once: The probability of getting a 1 is 1/21, a 2 is 2/21, a 3 is 3/21, a 4 is 4/21,a 5 is 5/21, and a 6 is 6/21.
They ask you to find P(A), P(B), P(AUB), P(AnB), P(AlB), P(BlA), and if the events are independent. I have an idea of how to do it and my results were:
P(A): 4/7 ---- P(b): 11/21 ----P(AnB): 6/21----- P(AUB) 17/21 -----P(AlB): 6/11 ------ P(BlA): 1/2 and the events to not be independent because (AnB) =/= P(A) x P(B)
I am not exactly sure if I'm right.
The second one is this one:
An unfair coin (Probability of 0.6 for heads) is flipped twice. Given that on at least one flip a head occurred, what is the probability that a head occurred on both flips.
So in my mind, this question is really simple, but the wording makes me believe that I am overlooking something and that it is a bit more complicated. am I supposed to do like an x chooses n / binomial formula thing.
Thank you in advance to anyone that can help me.