SOLUTION: Define the following two events for two tosses of a coin: A = at least one head is obtained B = both tails are obtained Are A and B complementary events? If yes, fi

Algebra ->  Probability-and-statistics -> SOLUTION: Define the following two events for two tosses of a coin: A = at least one head is obtained B = both tails are obtained Are A and B complementary events? If yes, fi      Log On


   



Question 574385: Define the following two events for two tosses of a coin:
A = at least one head is obtained
B = both tails are obtained
Are A and B complementary events?
If yes, first calculate the probability of B and then calculate the probability of A using the complementary event rule.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Define the following two events for two tosses of a coin:
A = at least one head is obtained
B = both tails are obtained
------
P(2 tails) = (1/2)^2 = 1/4
-----
P( at least one head) = 1 - P(no heads) = 1 - (1/4) = 3/4
================
Cheers,
Stan H.