Question

A coin is thrown 6times. the probability of getting exactly four heads is

Answer 1

"To begin with, we calculate the total number of possibilities that arise from tossing a coin 6 times. On each toss, we have 2 possibilities - a head or a tail. This gives us

2*2*2*2*2*2 = 64 possibilities

Now let's list out the desirable outcomes.

Having 4 heads

H H H H T T - This is one example of the above outcome.

Something like

H H H T H T would also be equally likely and would be a desirable outcome. Thus to calculate all such permutations

6! /4! ∗2! =15 ways

Here, 6 is the total number of objects while 2 and 4 are the total number of identical objects.

"