Question

A coin is tossed twice. Let EE be the event "the first toss shows heads" and FF the event "the second toss shows heads".

1. (a) Are the events EE and FF independent?
   1. Input Yes or No:

1. (b) Find the probability of showing heads on both tosses. Write your answer as a reduced fraction.
   1. Answer:    

Box 1: Enter your answer as letters. Examples: A B C, linear, a cat

Box 2: Enter your answer as a reduced fraction (like 5/3, not 10/6) or as an integer (like 4 or -2)
Do not enter mixed numbers
Enter DNE for Does Not Exist, oo for Infinity

Answer 1

a) the first toss does't effect the second toss.

therfore they are independent

answer is YES

b)

p(getting on both heads) =p(head)*p(head)

=(1/2)(1/2)

=1/4