Probability

Question

A fair die is rolled 10 times. What is the probability that an even number (2, 4 or 6) will occur more than 6 times?
A. 0.8281
B. 0.2051
C. 0.1719
D. 0.1172
E.  0.9453

Answer 1

In six sided dice, appearance of an even number after the throw = 3/6 =1/2

 

Problem boils down to the problem of probability of having 6 head or tail in 10 flip.

 

( 10) . (1/2 )^6 *6 ( 1/2 )^6= 0.205125

   6

 

  Correct answer is B.