2. Game 1: Balloon darts
Probability to pop a balloon if you are given
three darts and win a prize
Player Balloonโs popped Darts
A 3 3
B 1 3
C 2 3
D 0 3
6 12
๐ =
๐๐ข๐๐๐๐ ๐๐ ๐ก๐๐๐๐ ๐๐ ๐๐ฃ๐๐๐ก ๐๐๐๐ข๐๐
๐ก๐๐ก๐๐ ๐๐ข๐๐๐๐ ๐๐ ๐ก๐๐๐๐๐
๐ =
(3 + 1 + 2 + 0)
(3 + 3 + 3 + 3)
๐ =
6
12
or ยฝ
3. Game 2: Cola Ring Toss
Probability to land a bottle given five rings and win a
prize
Player Rings successfully landed on a
bottle/s
Tries
A 5 5
B 1 5
C 2 5
D 0 5
E 4 5
F 3 5
15 30
๐ =
๐๐ข๐๐๐๐ ๐๐ ๐ก๐๐๐๐ ๐๐ ๐๐ฃ๐๐๐ก ๐๐๐๐ข๐๐
๐ก๐๐ก๐๐ ๐๐ข๐๐๐๐ ๐๐ ๐ก๐๐๐๐๐
๐ =
(5 + 1 + 2 + 0 + 4 + 3)
(5 + 5 + 5 + 5 + 5 + 5)
๐ =
15
30
or ยฝ
4. Game 3: High striker
Probability to hit the highest height and win a
prize
Player height Tries
A 5 ft. 1
B 1 ft. 1
C 2 ft. 1
D 4 ft. 1
E 3 ft. 1
15 5
๐ =
๐๐ข๐๐๐๐ ๐๐ ๐ก๐๐๐๐ ๐๐ ๐๐ฃ๐๐๐ก ๐๐๐๐ข๐๐
๐ก๐๐ก๐๐ ๐๐ข๐๐๐๐ ๐๐ ๐ก๐๐๐๐๐
๐ =
(5 + 1 + 2 + 4 + 3)
(1 + 1 + 1 + 1 + 1 + 1)
๐ =
15
5
or 3
6. Game 4: Cards
If a card is drawn from an ordinary deck, find the
probability of drawing
1. An ace
๐ =
๐๐ข๐๐๐๐ ๐๐ ๐๐๐ฃ๐๐๐๐๐๐ ๐๐ข๐ก๐๐๐๐
๐ก๐๐ก๐๐ ๐๐ข๐๐๐๐ ๐๐ ๐๐๐ ๐ ๐๐๐๐ ๐๐ข๐ก๐๐๐๐๐
๐ =
4 ๐๐๐
52 ๐๐๐๐๐
(lowest term divisible by 4)
๐ =
1
13
Probability of drawing the ace to win the game
7. 2. A diamond
๐ =
๐๐ข๐๐๐๐ ๐๐ ๐๐๐ฃ๐๐๐๐๐๐ ๐๐ข๐ก๐๐๐๐
๐ก๐๐ก๐๐ ๐๐ข๐๐๐๐ ๐๐ ๐๐๐ ๐ ๐๐๐๐ ๐๐ข๐ก๐๐๐๐๐
๐ =
13 ๐๐๐๐๐๐๐๐
52 ๐๐๐๐๐
(lowest terms divisible
by 13)
๐ =
1
4
Probability of drawing the diamond to win
the game
8. Game 5: Eating apple
Find the probability of a pair to finish eating the apple in
less than 1 minute to win the game.
๐ =
๐๐ข๐๐๐๐ ๐๐ ๐๐๐ฃ๐๐๐๐๐๐ ๐๐ข๐ก๐๐๐๐
๐ก๐๐ก๐๐ ๐๐ข๐๐๐๐ ๐๐ ๐๐๐ ๐ ๐๐๐๐ ๐๐ข๐ก๐๐๐๐๐
๐ =
1 ๐๐๐๐ ๐๐ ๐๐๐ ๐ ๐กโ๐๐ ๐๐๐ ๐๐๐๐ข๐ก๐
5 ๐๐๐๐๐
๐ =
1
5
Probability of that 1 pair to finish eating that apple in less
than 1 minute
9. Game 6: Snakes and ladders
1.Find the probability of getting the snake in one throw
of the dice
๐ =
๐๐ข๐๐๐๐ ๐๐ ๐๐๐ฃ๐๐๐๐๐๐ ๐๐ข๐ก๐๐๐๐
๐ก๐๐ก๐๐ ๐๐ข๐๐๐๐ ๐๐ ๐๐๐ ๐ ๐๐๐๐ ๐๐ข๐ก๐๐๐๐๐
๐ =
1 ๐กโ๐๐๐ค
6 ๐๐๐๐๐
๐ =
1
6
10. 2. Find the probability of getting the snake
๐ =
๐๐ข๐๐๐๐ ๐๐ ๐๐๐ฃ๐๐๐๐๐๐ ๐๐ข๐ก๐๐๐๐
๐ก๐๐ก๐๐ ๐๐ข๐๐๐๐ ๐๐ ๐๐๐ ๐ ๐๐๐๐ ๐๐ข๐ก๐๐๐๐๐
๐ =
7 ๐ ๐๐๐๐๐
36 ๐กโ๐๐๐ค๐
๐ =
7
36
11. 3. Find the probability of getting the ladder in 1
throw
๐ =
๐๐ข๐๐๐๐ ๐๐ ๐๐๐ฃ๐๐๐๐๐๐ ๐๐ข๐ก๐๐๐๐
๐ก๐๐ก๐๐ ๐๐ข๐๐๐๐ ๐๐ ๐๐๐ ๐ ๐๐๐๐ ๐๐ข๐ก๐๐๐๐๐
๐ =
1 ๐กโ๐๐๐ค
6 ๐๐๐๐๐
๐ =
1
6
12. 4.Find the probability of getting the ladder
๐ =
๐๐ข๐๐๐๐ ๐๐ ๐๐๐ฃ๐๐๐๐๐๐ ๐๐ข๐ก๐๐๐๐
๐ก๐๐ก๐๐ ๐๐ข๐๐๐๐ ๐๐ ๐๐๐ ๐ ๐๐๐๐ ๐๐ข๐ก๐๐๐๐๐
๐ =
9 ๐๐๐๐๐๐๐
36 ๐กโ๐๐๐ค๐
๐ =
9
36
or ยผ