5 questions
A single card is drawn from a standard deck of playing cards. What is the probability that the card is a face card provided that a queen is drawn from the deck of cards?
a) 3/13
b) 1/3
c) 4/13
d) 1/52
A meeting has 12 employees. Given that 8 of the employees is a woman, find the probability that all the employees are women?
a) 11/23
b) 12/35
c) 2/9
d) 1/8
Naina receives emails that consists of 18% spam of those emails. The spam filter is 93% reliable i.e., 93% of the mails it marks as spam are actually a spam and 93% of spam mails are correctly labelled as spam. If a mail marked spam by her spam filter, determine the probability that it is really spam.
a) 50%
b) 84%
c) 39%
d) 63%
A family has two children. Given that one of the children is a girl and that she was born on a Monday, what is the probability that both children are girls?
a) 13/27
b) 23/54
c) 12/19
d) 43/58
A jar containing 8 marbles of which 4 red and 4 blue marbles are there. Find the probability of getting a red given the first one was red too.
a) 4/13
b) 2/11
c) 3/7
d) 8/15