Mathematics
Home > Mathematics > General Mathematics > HSC Course > Probability > PB4: Applications of probability > Quick quiz: A sample of multiple choice questions for this topic.
PB4
- If two coins are tossed 100 times, what is the
theoretical probability of double tails?
- 1/2
- 1/4
- 1/8
- If two coins are tossed 100 times, what is the expected
number of double tails?
- 1/2 x 100 = 50
- 1/8 x 100 = 12.5
- 1/4 x 100 = 25
- It has been estimated that 28.7% of a country's
population will contract the influenza virus.
If the country's population is 4 300 000, how many would be expected to contract the virus?
- 123 410 000 people
- 12 341 people
- 1 234 100 people
- In a lottery there are 50 000 tickets.
If you hope to win a prize, is it better to buy 50 tickets in one lottery or 1 ticket in each of 50 lotteries?
- Better to buy 50 tickets in one lottery.
- Chances are the same, 0.001
- Better to buy one ticket in 50 lotteries.
-
Cost of Service $60.00 $85.00 $120.00 Probability 0.20 0.45 0.35
The above table shows the cost of car service bills at MACCA'S Garage and the probability that the service will cost that amount.
What is the expected cost of a car service at MACCA'S Garage?
- $265.00
- $922.50
- $92.25
- Fred is thinking about expanding his sandwich shop.
If he expands, he thinks he has a 35% chance of making a $40 000 profit and a 65% chance of losing $25 000.
The calculated financial expectation involved with Fred's decision to expand his sandwich shop is:
- A loss of $225 000
- A loss of $2250
- A profit of $30 250
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