Question

You accidentally dropped a coin from the top of 7 stairs. What is the probability that it will land below the sixth step and heads up?

Answer 1

Answer:

The probability that it will land below the sixth step and heads up is $\frac{1}{14}$

Step-by-step explanation:

Given : You accidentally dropped a coin from the top of 7 stairs.

To find : What is the probability that it will land below the sixth step and heads up?                                                        

Solution :

A coin has two sides - head and tail.

Probability of getting head is

$P(H)=\frac{1}{2}$

Total stairs are 7.

Coin will land below the sixth step i.e. it land on 7th step.

So, Probability of landing coin on below the sixth step is

$P(L)=\frac{1}{7}$

Now, The probability that it will land below the sixth step and heads up is

$P=\frac{1}{2}\times \frac{1}{7}$

$P=\frac{1}{14}$

Therefore, The probability that it will land below the sixth step and heads up is $\frac{1}{14}$

Answer 2

1/7 * 1/2 = 1/14
1/2 because there is a 50/50% chance its either heads or tails