# What is the most probable number of heads out of #50# tosses of a fair coin (A) #15#, (B) #25# (C) #35# ?

##### 1 Answer

May 8, 2016

**(B)**

#### Explanation:

The most probable outcome is **(B)**

However, the probability of it being exactly

#(((50),(25)))/2^50 = (50!)/((25!)(25!)2^50) = 15801325804719/140737488355328 ~~ 0.112275#

that is about

The next most probable outcomes are **(A)** 15 and **(C)** 35, both of which have probability:

#(((50),(15)))/2^50 = (50!)/((15!)(35!)2^50) = 140676848445/70368744177664 ~~ 0.002#

that is about