1. ## probability

5 coins are tossed, find probability that exactly 4 are heads.

is there a way to do this without writing all of the combinations out? a short cut?

2. Originally Posted by algebra2
5 coins are tossed, find probability that exactly 4 are heads.

is there a way to do this without writing all of the combinations out? a short cut?
Yes. Use the Binomial distribution: Binomial distribution - Wikipedia, the free encyclopedia

3. Originally Posted by algebra2
5 coins are tossed, find probability that exactly 4 are heads.

is there a way to do this without writing all of the combinations out? a short cut?

$
{5 \choose 4} \left( \frac{1}{2} \right) ^{4} \left( \frac{1}{2} \right) ^{1}
$