The Last Cookie Riddle
Mike and James are arguing over who gets the last cookie in the jar, so their dad decides to create a game to settle their dispute. First, Mike flips a coin twice, and each time James calls heads or tails in the air. If James gets both calls right, he gets the last cookie. If not, Mike picks a number between one and six and then rolls a die. If he gets the number right, he gets the last cookie. If not, James picks two numbers between one and five, then spins a spinner with numbers one through five on it. If the spinner lands on one of James' two numbers, he gets the last cookie. If not, Mike does.
Who is more likely to win the last cookie, Mike or James? And what is the probability that person wins it?
Who is more likely to win the last cookie, Mike or James? And what is the probability that person wins it?
Hint: Their dad is a very smart person.
Believe it or not, both Mike and James have a 1/2 chance of winning.
James wins if:
-he calls both coin flips right = 1/2 x 1/2 = 1/4
OR
-he does not call both coin flips right, Mike does not call the die roll correctly, and he guesses the number on the spinner right = 3/4 x 5/6 x 2/5 = 30/120 = 1/4
1/4 + 1/4 = 1/2
Mike wins if:
-James does not call both coin flips right and he calls the die roll correctly = 3/4 x 1/6 = 3/24 = 1/8
OR
-James does not call both coin flips right, he does not call the die roll correctly, and Mike does not guess the number on the spinner right = 3/4 x 5/6 x 3/5 = 45/120 = 3/8
1/8 + 3/8 = 1/2
Of course, dad could have just flipped a coin Did you answer this riddle correctly?
YES NO
James wins if:
-he calls both coin flips right = 1/2 x 1/2 = 1/4
OR
-he does not call both coin flips right, Mike does not call the die roll correctly, and he guesses the number on the spinner right = 3/4 x 5/6 x 2/5 = 30/120 = 1/4
1/4 + 1/4 = 1/2
Mike wins if:
-James does not call both coin flips right and he calls the die roll correctly = 3/4 x 1/6 = 3/24 = 1/8
OR
-James does not call both coin flips right, he does not call the die roll correctly, and Mike does not guess the number on the spinner right = 3/4 x 5/6 x 3/5 = 45/120 = 3/8
1/8 + 3/8 = 1/2
Of course, dad could have just flipped a coin Did you answer this riddle correctly?
YES NO
The Sad Math Book
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Stole From The Bookstore Riddle
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Book In An Emergency Room Riddle
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Sick Cookies Riddle
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Astronaut Cook In His Skillet Riddle
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The Wall Say To The Bookcase Riddle
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Playing With A Book Riddle
My son was playing with a book and tore out pages 7, 8, 100, 101, 222, and 223.
How many pages were torn out?
How many pages were torn out?
Hint:
10. Remember pages of a book are double-sided.
7+8, 99+100, 101+102, 221+222, 223+224s. Did you answer this riddle correctly?
YES NO
7+8, 99+100, 101+102, 221+222, 223+224s. Did you answer this riddle correctly?
YES NO
Remove The Outside Cook The Inside Riddle
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A Book Costs $1 Riddle
Hint:
The book costs $2.
Let the cost be X. We know that:
X = 1 + X/2
Solving for X will give 2. Did you answer this riddle correctly?
YES NO
Let the cost be X. We know that:
X = 1 + X/2
Solving for X will give 2. Did you answer this riddle correctly?
YES NO
My Nephew Was Playing With A Book Riddle
My nephew (A boy) was playing with a book and he tore out pages 7, 8, 100, 101, 222, and 223.
How many pages were torn out?
How many pages were torn out?
Hint:
This is a tricky riddle indeed. Each page in a book has a odd and even number( assuming its printed both sides).Hence page number looks like 1-2, 3-4, 5-6 and so on..Now looking at above riddle.
7-8 is single page
99-100 is single page
101-102 is single page
221-222 is single page
223-224 is single page.
So total of 5 pages Did you answer this riddle correctly?
YES NO
7-8 is single page
99-100 is single page
101-102 is single page
221-222 is single page
223-224 is single page.
So total of 5 pages Did you answer this riddle correctly?
YES NO
Cookie Banana Clock Riddle
Hint:
Look closely and notice 2 things in above picture:
No. of chocolate pieces on each cookie
Time in clock
Cookie(10 chocs) + Cookie(10 chocs) + Cookie(10 chocs) = 30 ==> Cookie with 10 chocs = 10
2 bananas + 2 bananas + Cookie(10 chocs) = 14
4 Bananas + 10 =14 ==> Banana = 1
2 Bananas + Clock(3 O'clock) + Clock(3 O'clock) = 8 Did you answer this riddle correctly?
YES NO
No. of chocolate pieces on each cookie
Time in clock
Cookie(10 chocs) + Cookie(10 chocs) + Cookie(10 chocs) = 30 ==> Cookie with 10 chocs = 10
2 bananas + 2 bananas + Cookie(10 chocs) = 14
4 Bananas + 10 =14 ==> Banana = 1
2 Bananas + Clock(3 O'clock) + Clock(3 O'clock) = 8 Did you answer this riddle correctly?
YES NO
This Country Gave Us Books Riddle
This country gave us Harry Potter
And the cuddly Paddington Bear
Consulting detective Sherlock Holmes
And Robin Hood who kept things fair
And the cuddly Paddington Bear
Consulting detective Sherlock Holmes
And Robin Hood who kept things fair
Hint:
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