PROBABILITY
2 coins are tossed at the same time. How likely is it that it lands on 2 tails?
1/4
A survey is taken from year 12 men from the graduating class of 2012 at Northern Beaches State High School. What is the population in the survey?
year 12 men from the graduating class of 2012 at Northern Beaches State High School
A student is chosen at random from the year 11 boys, there are currently 113 year 11 boys. What is the sample space?
113
Identify potential problems that could occur with the following simulation experiments.
a) Not returning a selected card to the deck after each selection but thoroughly shuffling between selections.
Not returning the card between selections changes the chance of that suit/colour etc. being selected in the next draw.
The year 7 data is as follows: 86 boys, 82 girls, MATHS RESULTS. Boys: A: 14 B: 36 C: 28 D: 8. Girls: A: 20 B: 32 C: 18 D: 12. How likely is it that 2 students chosen at random are a boy receiving a B AND a girl receiving a B?
16.3%
A survey asked shoppers how many re-usable bags they had with them when
entering a supermarket. The table below shows the findings.
Number of bags 0 1 2 3 4 5
Number of shoppers 15 24 18 35 18 12
How many shoppers were there?
122
Sally is ordering a main and a drink, she arrived at 9:30 and there is only a select amount of choices. The mains are: spaghetti bolognaise, 3 cheeseburgers, seafood dish, hawaiian pizza. The drinks are; Coke, sprite or fanta. What is the sample space?
12
Identify potential problems that could occur with the following simulation experiments
b) Always selecting the top card from a deck of cards.
If shuffling technique is poor, this could impact results.
A survey asked students how many sports they currently participate in.
The table below shows the findings.
Number of sports 0 1 2 3
Number of students 42 57 24 2
calculate the probability that the student plays one sport. Round your
answer to 2 decimal places.
57/125
A survey asked shoppers how many re-usable bags they had with them when
entering a supermarket. The table below shows the findings.
Number of bags 0 1 2 3 4 5
Number of shoppers 15 24 18 35 18 12
If a shopper is selected at random:
a calculate the probability that the shopper has 2 bags with them. Round
your answer to 2 decimal places.
14.75%
Ryan rolls a dice and tosses a coin at the same time. What is the sample space?
12
Identify potential problems that could occur with the following simulation experiments.
c Always starting with heads when tossing a coin.
Depending on technique, starting on heads could result in the same outcome occurring more frequently.
A survey asked students how many sports they currently participate in.
The table below shows the findings.
Number of sports 0 1 2 3
Number of students 42 57 24 2
calculate the probability that the student plays fewer than two sports.
Round your answer to 2 decimal places.
99/125
1/3 33.33%
Sam is packing shirts, he has 3 reds, 4 blues, 2 yellows, 4 blacks and 2 greens. How likely is he to pick a red or green shirt?
20% 1/5
Identify potential problems that could occur with the following simulation experiments.
d) Allowing the coin to fall to the ground from the toss.