Likelihood & Probability
Which of these statements is best described as "impossible"?
- You roll an even number on a standard six sided number cube.
- The sun will set in the west tomorrow.
- You find two parallel lines that intersect.
- You flip a fair coin and get 30 tails in a row.
You find two parallel lines that intersect
There are three groups left to present their final projects. The groups are listed alphabetically from Group G to Group L.
The teacher will choose one group at random to present their project. List all the outcomes in this sample space for this action.
Group G, Group H, Group I, Group J, Group K, Group L
There are 4 sections on a spinner numbered 1-4. The spinner is spun 50 times and the following are the results:
1) 14 times. 2) 10 times. 3) 18 times. 4) 8 times.
experimental probability of landing on a 2?
10/50 or 1/5
On a regular, six sided cube, what's the probability you roll a 4 or 5 as a fraction?
2/6 or 1/3
Likelihood that half of the 28 students in a class have the same birthday.
a) Certain
b) likely
c) unlikely
d) impossible
Unlikely.
There's a spinner number 1-6. What is the sample space of the spinner landing on an odd number?
What is 1,3,5?
Rolls a number cube 80 times. Here are the results:
1) 14. 4) 12.
2) 8. 5) 10.
3) 16. 6) 20.
What's the probability you roll a number greater than 3?
42/80 or 21/40
On a spinner with 5 sections, what's the probability that it could land on an odd numbered section?
3/5
The probability of parents passing on a particular trait to their child is 4/13.
Write this probability as a decimal (2 decimal places) and percentage?
0.31 and 31% (or 30.77%)
You roll a six sided dice and flip a coin. How many possible outcomes are there in the sample space?
12 (H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6)
Explain what is experimental probability.
Probability that comes from completing trials of an experiment.
A bag of marbles contains 5 red, 3 purple, 4 blue and 1 green marble. What's the probability of not picking a red or purple marble?
5/13
The probability the elastic band you choose is yellow is 3/8. Write this probability as a decimal and percentage.
0.375, 37.5%
How many possible outcomes would there be from a spinner with four equal sectors (coloured red, green, blue and white) is spun and a coin is flipped.
8.
H-R, H-G, H-B, H-W, T-R, T-G, T-B, T-W
Results of spinning a spinner:
1) 5 times 2) 5 times 3) 6 times 4) 5 times 5) 7 times.
What is the probability, as a decimal, that you spin a number less than or equal to 4?
21/28 = 0.75
Explain the difference between theoretical and experimental probability.
Theoretical probability is what should happen in a perfect world or what should happen according to the factors of the event, while experimental probability is based on completing trials of the actual experiment.
Based on the records for the past several seasons, a sports fan believes the probability the red team wins is 0.65. The fan also believes the probability the blue team wins is 0.60. In a season with 140 games, how many more games should the fan expect the red team to win over the blue team?
The red team should win 7 more games than the blue team.
Jane likes comedies and fantasies, Kim likes fantasies, Jason likes thrillers and comedies, Sara likes horror films, and Kat likes comedies.
How many friends would be in the sample space of friends who at least like comedies?
3.
Restaurant Menu item and number of customers:
Baked potato - 95
steamed broccoli - 60
asparagus - 59
sweet potato - 160
What is the experimental probability that a customer prefers a baked potato or asparagus, as a percentage?
154/374 = 41%
If you roll 2 dice, what's the probability of rolling two numbers that add up to 12?
1/36