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705-805 Level|   Probability|      
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Bunuel
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A player throws a fair six-sided die. If a prime number is obtained 07 Apr 2023, 01:30
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45% (02:01) correct 55% (02:04) wrong based on 116 sessions

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A player throws a fair six-sided die. If a prime number is obtained, he wins an amount equal to the number rolled times 100 dollars, but if a prime number is not obtained, he loses an amount equal to the number rolled times 100 dollars. What is the provability that after two throws the player wins 400 dollars?

A. 1/10
B. 1/12
C. 1/18
D. 1/24
E. 1/36


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B
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A player throws a fair six-sided die. If a prime number is obtained 07 Apr 2023, 02:52
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Bunuel
A player throws a fair six-sided die. If a prime number is obtained, he wins an amount equal to the number rolled times 100 dollars, but if a prime number is not obtained, he loses an amount equal to the number rolled times 100 dollars. What is the provability that after two throws the player wins 400 dollars?

A. 1/10
B. 1/12
C. 1/18
D. 1/24
E. 1/36

The favorable pairs of (Dice 1, Dice 2) are (1,5), (2,2), and (5,1).

Total pairs = 36

Required Probability = 3/36 = 1/12

Option B
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A player throws a fair six-sided die. If a prime number is obtained 07 Apr 2023, 03:07
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A player throws a fair six-sided die. If a prime number is obtained, he wins an amount equal to the number rolled times 100 dollars, but if a prime number is not obtained, he loses an amount equal to the number rolled times 100 dollars. What is the provability that after two throws the player wins 400 dollars?

Possible Prime number's on rolling a dice are - 2, 3 and 5

But to win 400 dollars, the possible combinations are - (5,1 or 1,5) and (2,2)
Total combinations possible are 6*6 = 36

Therefore, the required probability = 3/36 = 1/12
Answer B
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A player throws a fair six-sided die. If a prime number is obtained 07 Apr 2023, 04:11
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Bunuel
A player throws a fair six-sided die. If a prime number is obtained, he wins an amount equal to the number rolled times 100 dollars, but if a prime number is not obtained, he loses an amount equal to the number rolled times 100 dollars. What is the provability that after two throws the player wins 400 dollars?

A. 1/10
B. 1/12
C. 1/18
D. 1/24
E. 1/36


This is a PS Butler Question


2, 3, 5 - winning numbers that will give him $200, 300 and 500 respectively
1, 4, 6 - Losing numbers that will make him lose $100, 400, 600 respectively

To WIN overall $400, he either wins on each turn or wins on one and loses on another.

Wins on each turn - He must throw 2 twice to make $400. He can't make 400 in any other way.
Probability = 1/6 * 1/6 = 1/36

Wins on one and loses on another - He must throw a 5 and a 1 to make $400.
Probability = 1/6 * 1/6 * 2 = 1/18

Overall probability = 1/12

Answer (B)
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A player throws a fair six-sided die. If a prime number is obtained 07 Feb 2025, 08:21
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