Descriptive Statistics
Additional Sheet 2
1. I pick 3 cards from a pack of 52. Calculate the probability that
i)
I pick exactly one ace
ii)
I pick at least one ace
iii)
I pick exactly one ace, given that I pick at least one ace.
2. The probabilities that Sląsk Wrocław win, draw, lose a match are 0.2, 0.4, 0.4,
respectively. Calculate the probability that in the course of two matches
i)
Sląsk win exactly one match.
ii)
Sląsk do not lose a match.
3. Two dice are thrown. Calculate the probability that
i)
the sum is equal to 8.
ii)
the sum is equal to 8, given that on at least one of the dice there is a two.
4. The following contingency table gives information regarding whether
individuals use Facebook and/or Kindle.
Use Facebook
Do not use Facebook
Has a Kindle
400
200
Does not have a Kindle
400
500
Let A be the event that the individual uses facebook and B be the event that the
individual has a kindle.
Calculate P(A), P(B), P(A|B), P(A|BC ), P(B|A), P(B|AC )