Το καλάθι σου είναι άδειο.
PROBABILITY GAMES I
{{exercise_number}}. Complete the following sentences using the words possible, certain or impossible.
- I am going to play chess with one of my friends. It is
possible that I will win. - If I complete third grade, it is
certain that I will be a fourth grader next year. - There are 25 students in my class; therefore, it is
impossible for everyone to work in pairs. - I am going to have my tonsils removed next week. It is
certain that I will have to stay home after the operation. - If the wind slams the window, it is
possible that the glass breaks. - Mick broke his leg. It is
certain that he will not be running in the race next week.
{{exercise_number}}. Play the following game with your classmates.
- Form three groups with an equal number of students. Each member should roll a die. If a student rolls a six, their team scores 1 point. Each member rolls the die three times. Fill in the table below with the total number of rolls and the points scored.
number of rolls
1st group
points scored
3 group
2nd group
- Play the game again. This time, a team can score 1 point if its player rolls an even number.
3 group
number of rolls
points scored
1st group
2nd group
- Explain the reason for the difference in the results of the two games.
{{exercise_number}}. Make a pack of 25 cards. Draw a black cat on three of the cards. Divide the cards into smaller packs (consisting of 4, 9 and 12 cards) as shown in the image. Make sure that each pack contains a black cat. Draw one card from each of the packs.
- From which pack is it most likely that you will draw the card with the black cat on it?
Mark the pack with a \latex{\Huge \star }.
\latex{\Huge \star }
- Draw 15 times from each pack. After each draw, put the card back in the pack and then shuffle it. Fill in the boxes under the cards with the number of times you have drawn the black cat. Compare the results with your predictions.
{{exercise_number}}.
- Toss a coin and observe which side is facing upwards. Repeat the toss 20 times. Fill in the following table with your results. One side of a coin is called 'heads', while the other is called 'tails'.
Underline the prediction you think will come true.
A) There will be more heads than tails.
B) There will be more tails than heads.
C) There will be an equal number of heads and tails.
B) There will be more tails than heads.
C) There will be an equal number of heads and tails.
Compare your prediction with the result.
total
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
tails
20.
heads
- Count how many students in the class predicted each outcome.
Compare the results with the predictions.
equal (C)
The number of predictions
The results of the tosses
tails (B)
tails (B)
equal (C)
heads (A)
heads (A)
- Summarise the results and then complete the following sentence.
In our class, 000 students took part in the experiments. There were a total of 000 tosses, 000 heads, and 000 tails.
Based on the results, try to decide which word makes the following statement true. Underline the correct word.
When tossing a coin, the probability of it landing heads up or tails up are the same. / different
{{exercise_number}}. Nick and Charlie put their names into a hat and drew one out to decide who would clean the blackboard. There are two possible outcomes. Complete the sentence.
Either Nick ’s or Charlie ’s name will be drawn. The probability of either outcome is equal .
Find other methods the boys could have used to make a fair decision.
{{exercise_number}}. After the Children's Day competition, the third graders decided to put their names into a hat and draw one out to determine who would accept the prize the class had won. There are 15 girls and 10 boys in the class. Which outcome is more probable? Underline the correct word and justify your answer.
It is more likely that a boy's / girl's name was drawn because there are more girls than boys .
{{exercise_number}}.
- Make the following pack of cards.
Turn all the cards face down and then shuffle them. Draw one card at random, observe the number on it, put it back in the pack, and shuffle them again. Repeat this process ten times. Count how many times each number was drawn, and then fill in the boxes under the cards with the corresponding numbers.
- Summarise all the results in the class.
Try to predict which number was drawn most often.0
Fill in the table with the total number of times each card was drawn.
1
2
3
4
5
6
Draw a diagram based on the table above.
6
10
20
30
40
50
60
70
1
2
3
4
5
Compare your prediction with the actual result. How many of you have predicted the result correctly?
Based on the results, try to decide which word makes the following statement true. Underline the correct word.
Based on the results, try to decide which word makes the following statement true. Underline the correct word.
The probability of drawing any of the cards in the pack is the same / different .
{{exercise_number}}.
- A box contains 4 red, 2 blue and 1 green marbles, all the same size. Draw one marble from the box with your eyes closed. Complete the sentence below and justify your answer.
It is most likely that I will draw a red marble because
most of the marbles are red .
- Draw two marbles from the box at once. What are the different combinations that can be drawn? Drag the colours to the correct circles to illustrate the different combinations.
- At least how many marbles should be drawn to make sure that there is a red marble among them?