Two probability ds_Math gurus help please!!!!!

[nazar]

1.X and Y are two independent events. What is the probability that they will happen together?(1) The probability of happening X is 0.4(2) The probability of happening Y is 0.32. M and N are two independent events. Is the probability of happening A 40%?(1) The probability that M and N will happen is 60%(2) The probability that N is not likely to happen is 30%.Please explain with concepts mentioning how to deal with the independent events.Thanks in advance.

[nazar]

This is question no. 2:
2. M and N are two independent events. Is the probability of happening A 40%?(1) The probability that M and N will happen is 60%(2) The probability that N is not likely to happen is 30%.Please explain with concepts mentioning how to deal with the independent events.Thanks in advance.

[tytyros]

Q1
P(both X and Y) = P(X)P(Y).. if X and Y are independent
and are not mutually exclusive
IMO answer should be C

Q2
asks about P(M) ? = 40 %

P(both M and N) = P(M)P(N)..Clearly 1 is insuff

2 says that

P not N = 1- P(N) = 30 %
P(N) = 70 %

IMO answer should be C ???

1+2
60 % = P(M) * 70 %
0.6/0.7 = P(M) = 0.85 ???

[nazar]

Official Answer's are E and A.I am confused about the concepts.Anyone to give light on it??

[tytyros]

hmmmm

Q1
P(x or y)= P(x) + P(y) - P(x and y)
this holds good for independent events...so in order to get P(x and y) we ought to know P(x or y ) ...
Hence Official Answer is E

q2. can u correct your question as you mention A in the stem question amid varibles M and N ?

[larbgai]

Please post the original question exactly as stated. I know that there are lots of non-native English speakers on the forum, and that's cool, but please try to copy the question exactly as you first saw it. It makes it tough to help when the question is not decipherable.....