Question

When two coins are tossed at the same time, what is the theoretical probability of an outcome of one head and one tail?1/21/33/41/4

Answer 1

To find the proability we need to remember the product rule of proabbility that states that:

$P(A\cap B)=P(A)P(B)$

in this case event A is "getting head" and event B is "getting tail"; we know that each of this events have a proability of 1/2, then:

$P(A\cap B)=\frac{1}{2}\cdot\frac{1}{2}=\frac{1}{4}$

Therefore the probability we are looking for is 1/4.