Math Problem Statement

Can you help me modify my game ( Task 1

Game Name

Triple Challenge Treasures

Game Description:

Triple Challenge Treasures is a fun and exciting single-player game where players attempt three independent challenges (Challenge A, B, and C) to win various prizes. The more challenges a player successfully completes, the greater the prize they can win. However, if they fail all challenges, they walk away with nothing.

The game has an entry fee of $17 and offers three possible prize tiers based on how many challenges the player successfully passes:

·       Small Prize for passing 1 challenge: $5

·       Medium Prize for passing 2 challenges: $20

·       Grand Prize for passing all 3 challenges: $60

Game Rules:

Entry Fee: The player pays an entry fee of $17 to play.

Challenges: The player must attempt any of these three challenges:

·       Challenge A (Coin Flip): The player flips a coin and must get two consecutive heads to pass.

·       Challenge B (Dice Roll): The player rolls a 12-sided die and must roll exactly 12 to pass.

·       Challenge C (Card Draw): The player draws a card from a standard deck and must draw a red face card from diamonds (Jack, Queen, or King) to pass.) so that the provability distribution is some close to these values No Prize : 64.7 % Small Prize: 29 % Medium Prize: 7% Big Prize: 2.3 % So that when added up : 64.7 + 29 + 4 + 2.3 = 100 % (Or something close enough to be rounded up)

Solution

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Probability
Probability Distribution
Independent Events

Formulas

Combined probability for independent events: P(A and B and C) = P(A) * P(B) * P(C)
Probability of complementary events: P(not A) = 1 - P(A)

Theorems

Basic Probability Theorem for Independent Events

Suitable Grade Level

Grades 9-12