Page 428 - Math Smart - 7

David has a full pack of 52 cards, but he lost the King of Hearts.
There are 52 cards in a
David randomly chooses one card from his incomplete pack. pack divided into 4 suits:
What is the probability that the card is a King? clubs, hearts, diamonds
and spades. There are 13
During a raffle, 600 tickets were sold.
card values per suit: ace,
a) What is the probability of a person winning the raffle if they bought
2, 3, 4, 5, 6, 7, 8, 9,10,
i) 5 tickets? ii) 60 tickets? iii) 100 tickets? Jack, Queen and King.
b) What happens to the probability of winning the raffle as more tickets
are bought? Give your answers in percentages.

182.2 Mutually exclusive outcomes

In a doctor's waiting room, is it possible for patients to be sitting on a chair and
standing up at the same time? Can you sit and stand at the same time? Some
outcomes cannot occur at the same time. We call these outcomes mutually
exclusive outcomes.
p)
An example of an
outcome that is not
mutually exclusive
r is sitting down and
You cannot sit \ . , ^
and stand at the W ' T using your laptop.
, Both can be done at
same time. I \ .
the same time.

A coin is tossed once.
a) List the possible outcomes.
b) Are the outcomes mutually exclusive?

Solution
a) H - heads and T-tails
b) The outcomes are mutually exclusive. The coin cannot land on heads and
tails at the same time.

A die is rolled.
a) List all the possible outcomes.
b) State whether the following outcomes are mutually exclusive:
i) Rolling a number that is odd and divisible by two.
ii) Rolling a number that is greater than zero and less than six.

Solution
a) 1,2, 3,4, 5 and 6.
b) i) This Is a mutually exclusive outcome. A number that is odd is not
divisible by two.

^24 UNIT 18