Question

2. Probability
For the following events:
a) State whether these are and or or probabilities
b) State whether they are independent or dependent (for and ) or overlapping or
non-overlapping (for or )
c) Find the probability of the event.
Randomly selecting a committee of seven from a pool of 15 men and 15 women, and ending up
with all women.
Getting a sum of either 6 or 8 on a roll of two dice.
Getting at least one parking ticket over five occasions when you do not pay the parking meter,
when the chances of getting a ticket when not paying are 0.3.

Answer 1

#Committee

a) Or probability

b) Non overlapping

c)

# dice throw

a) Or probability

b) Non Overlapping

c) 6 can be obtained :

( 1,5) ;(2,4) ;(3,3) ,( 4,2) ,(5,1) i.e 5 cases

8 can be obtained :

(2,6) ,(3,5) , (4,4),(5,3) ,(6,2) i.e. 5 cases

Total possible combination in throwing of 2 dice is 36

SO, required probability = (5+5)/36 = 0.278

# parking ticket

a) and probability

b) independent

c) P[Getting at least one tckt]

=1-P[Getting no tckt]