Question #da498

1 Answer
Jul 6, 2016

Answer:

#=6C_4(1/4)^4(3/4)^2#

#=15 X (1/256)(81/256)=0.01854,# nearly.#.

Explanation:

There are 13 hearts in the pack of 52..

The probability of drawing a heart

= (number of favorable cases)/(total number of cases)

#=13/52=1/4#.

The probability of not drawing a heart =1-1/4=3/4.

So, for drawing exactly 4 hearts in six draws in succession,

replacing the card drawn in each draw, the probability is the

compound probability,

#=6C_4(1/4)^4(3/4)^2#

#=15 X (1/256)(81/256)=0.01854,# nearly....