Which of the following situations are fair?
Jack and Mia both want the last cookie and neither will agree to share by splitting it. They ask a stranger passing by to flip a coin to decide who gets the cookie.
Ryan designs a game where a prize wheel is split into five equal sections. Four sections are red and one is green. If the wheel is spun and lands on a red section, the players loses $1. If the wheel lands on green section, the player wins $5.
Jason plays a game in which he has to pick a ball from a box of 10 balls, which contains 7 black balls and 3 white balls. He wins the game if he draws a white ball in one attempt.
Ray is playing a game in which he rolls a six-sided number cube. If the outcome is six, he is paid $5. Otherwise, he loses $1.
To decide which citizens will be asked to participate in a county-wide poll, each citizen is assigned a number and the county uses a random number generator to determine the citizens who will be contacted.
Jericho designs a game for a school carnival. The game consists of a box of 50 colored balls; 35 are violet, 10 are orange, and 5 are yellow. The player has to choose one ball from the box. The player wins $5 if it is a yellow ball, otherwise, the player wins nothing.
Answers
Given : Different situations
To Find: Which situations are fair
Solution:
flipping a coin have equal probability of Head and tail
Hence This situation is Fair.
Four sections are red and one is green
P ( R) = 4/5 P(G) = 1/5
lands on a red section, the players loses $1. If the wheel lands on green section, the player wins $5.
= (4/5) (-1) + (1/5)* 5
= -4/5 + 1
= 1/5
Chances of winning prizes are more than loosing hence not fair
Jason plays a game in which he has to pick a ball from a box of 10 balls, which contains 7 black balls and 3 white balls. He wins the game if he draws a white ball in one attempt.
Chances of win = 3/10 < 1/2 Hence not fair
Ray is playing a game in which he rolls a six-sided number cube. If the outcome is six, he is paid $5. Otherwise, he loses $1.
= ( 1/6) * 5 + (5/6) (-1)
= 0
Fair Game
To decide which citizens will be asked to participate in a county-wide poll, each citizen is assigned a number and the county uses a random number generator to determine the citizens who will be contacted.
Fair as each has equal chances
The game consists of a box of 50 colored balls; 35 are violet, 10 are orange, and 5 are yellow.
Insufficient data ( cost of playing game is missing )
= ( 5 / 50 ) * 5 = 1/2 $
IF cost of playing game is 1/2 $ then fair other wise not fair
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Answer:
✅ To decide which citizens…..
✅ Jack and Mia both want……
❌ Ryan designs a game……….
Step-by-step explanation:
I’m sorry if this doesn’t help much