3 6 p Suppose that 10 unbiased coins are tossed in an experi

3. (6 p) Suppose that 10 unbiased coins are tossed in an experiment. Find the followings probabilities a)At least 1 head b)at most 1 head c)0 head 4. (6 pt) Given a sample space S = { x |3

Solution

3)

a) P (Atleast one head) = 1 - P ( no head)

=1 - 1/2^10

=0.999 Answer

b) P(Atmost one head) = P (One Head) + P (No head)

= 10 / 2^10 + 1 / 2^10

=0.0107 Answer

c) P(No head ) = 1 / 2^10

= 0.00097 Answer

4)

a) A Intersection B : { 6 }

b) A\' Intersection B\' : { 4,9 }

c) A Union B : { 5,6,7,8 }