Hi everyone,

Could someone please help me on this conditional probablity problem?

Given:

Coin tossing

A balanced dime is tossed twice. The four possible equaly likely outcomes are HH,HT, TH, TT

Let:

A=event the first toss is heads

B=event the second toss is heads

C=event at least one toss is heads

Determine the following probabilities and express your results in words. Compute the conditional probabilities directly; do not use the conditional probability rule

a. P(B)

Would it be 3/4???????

b. P(B|A)

Would it be 1/3????????

c. P(B|C)

Would this also be 1/3???????

d. P(c)

1/3????

e. P(C|A)

f. P(|not B))

I really don't understand this. Could someone please explain this to me so that I can do the rest that are like this?

any help would be greatly appreciated

Thank you very much