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Game of Chance

The document describes a game of chance called "Lottoluck". The game involves drawing 2 balls from a machine containing 6 balls total. 3 balls have 2 letters each and 3 have 1 letter each. If both balls drawn have 1 letter, you lose. If both have 2 letters, you win a big prize. If 1 ball has 1 letter and the other has 2 letters, you win a smaller prize. It provides the possible outcomes and calculates the probability of getting 0 balls, 1 ball, or 2 balls with 2 letters. The probability of getting 0 balls with 2 letters is 1/5, 1 ball is 3/5, and 2 balls is 1/5.

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Ericka Mae Tayamora
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70 views4 pages

Game of Chance

The document describes a game of chance called "Lottoluck". The game involves drawing 2 balls from a machine containing 6 balls total. 3 balls have 2 letters each and 3 have 1 letter each. If both balls drawn have 1 letter, you lose. If both have 2 letters, you win a big prize. If 1 ball has 1 letter and the other has 2 letters, you win a smaller prize. It provides the possible outcomes and calculates the probability of getting 0 balls, 1 ball, or 2 balls with 2 letters. The probability of getting 0 balls with 2 letters is 1/5, 1 ball is 3/5, and 2 balls is 1/5.

Uploaded by

Ericka Mae Tayamora
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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STATISTICS AND PROBABILITY

2nd
Semester, School Year 2022-2023

Game of Chance
3rd Quarter PERFORMANCE TASK

Presented by:

Anonymous

Strand/Section
Accountancy Business Management(ABM)

Presented to:
Subject Teacher
Instruction Sheet

“LOTTOLUCK”
The lottery machine contains 6 balls. The balls were divided into
two groups, 3 of which had two letters written on them and 3 of which
had just one.

Instructions:
The lotto machine will draw until 2 balls come out.
• If the drawn 2 balls has 1 letter each, you loss the game and won’t
receive a price.
• However, if the 2 drawn balls has 2 letters each, you win the game and
will receive a big price.
• Lastly, if 1 of the drawn ball has 1 letter and the other has 2 letters, you
would also win the game and receive a price.
List of Possible Outcomes

JM , DP , KG , E , R , A

JM, DP DP, JM KG, JM E, JM R, JM A, JM


JM, KG DP, KG KG, DP E, DP R, DP R, DP
JM, E DP, E KG, E E, KG R, KG R, KG
JM, R DP, R KG, R E, R R, E A, E
JM, A DP, A KG, A E, A R, A A, R
Probability Distribution of the Highest Possible
Outcome
Sample Numbers of Sample Numbers of
Space balls with 2 Space balls with 2
letters letters
JM, DP 2 E, JM 1
JM, KG 2 E, DP 1
JM, E 1 E, KG 1
JM, R 1 E, R 0
JM, A 1 E, A 0
DP, JM 2 R, JM 1
DP, KG 2 R, DP 1
DP, E 1 R, KG 1
DP, R 1 R, E 0
DP, A 1 R, A 0
KG, JM 2 A, JM 1
KG, DP 2 A, DP 1
KG, E 1 A, KG 1
KG, R 1 A, E 0
KG, A 1 A, R 0

PROBABILITY DISTIRBUTION:
Numbers of balls 0 1 2
with 2 letters (X)

Probability P(Y) 1/5 3/5 1/5

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