Solution please

1. A coin is tossed 3 times. Discrete random variable X is equal to the number of times Heads comes up. Discrete random variable Y has the value 1 if the first toss comes up heads and 0 otherwise. (a) Find Pr[(X=1)n(y=1)] Are X and Y independent random variables?

Sets and probability

I am having a hard time trying to understand an example problem in my math book. The problem goes: In how many ways can 3 white tiles, 2 blue tiles, and 2 red tiles be arranged in a single row?( I also need to assume that the tiles are identical except for color.)

Counting Principles; Furthering Probability logic

If there 5 defective bulbs in the batch of 50 bulbs, what is the probability that the sample will have 2 defective bulbs?

Conditional Probability; Independent Events

Off all the problems that I have come to understand I have found myself stuck on this one. Any solutions? Given P(A)=.5, P(B)=.3 and the P(AuB)=.7 find the following 1. P(A') 2. P(A| B') 3. P(AnB)

Set Operation

Need assistance with the following problem; Shade each of the following regions. a. A'UB b. (AUB)nC'