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A coin is tossed 3 times.
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26 Aug 2022, 04:55
26 Aug 2022, 04:55
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Question Stats:
60% (01:04) correct
40% (00:59) wrong based on 10 sessions
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A coin is tossed 3 times.
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Quantity A |
Quantity B |
the number of possible outcomes containing exactly 2 heads |
the number of possible outcomes containing exactly 1 tail |
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Part of the project: GRE QCQ & PS 3 Questions Every One DAILY Challenge - (2022)
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GRE Math Essentials (2022)
GRE Geometry Formulas
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials (2022)
GRE Geometry Formulas
GRE - Math Book
Re: A coin is tossed 3 times.
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26 Aug 2022, 07:06
26 Aug 2022, 07:06
1
Do not evaluate, first what is asked in both quantities
Quantity A -
Getting 2 heads exactly , that means third one has to be tails
There are 3!/2! permutations of the same = So, total 3 different ways of getting 2 heads (HHT/THH/HTH)
Quantity B
Getting 1 tails exactly , that means other two have to be heads
HHT - There are 3!/2! permutations of the same = So, total 3 different ways of getting 1 tail (HHT/THH/HTH)
Same outcomes in A and B;
Quantity A = Quantity B
Answer is C
Quantity A -
Getting 2 heads exactly , that means third one has to be tails
There are 3!/2! permutations of the same = So, total 3 different ways of getting 2 heads (HHT/THH/HTH)
Quantity B
Getting 1 tails exactly , that means other two have to be heads
HHT - There are 3!/2! permutations of the same = So, total 3 different ways of getting 1 tail (HHT/THH/HTH)
Same outcomes in A and B;
Quantity A = Quantity B
Answer is C
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A coin is tossed 3 times.
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23 Oct 2022, 09:44
23 Oct 2022, 09:44
1
Given that A coin is tossed 3 times.
Coin is tossed 3 times => Total number of cases = \(2^3\) = 8
Quantity A: The number of possible outcomes containing exactly 2 heads
Out of the 8 outcomes there are only 3 outcomes in which we get exactly 2 Heads (or 1 Tail) and they are HHT, HTH, THH
Quantity B: The number of possible outcomes containing exactly 1 tail
Out of the 8 outcomes there are only 3 outcomes in which we get exactly 1 Tail (or 2 Heads) and they are HHT, HTH, THH
Clearly, Quantity A = Quantity B = 3
So, Answer will be C
Hope it helps!
Watch the following video to learn How to Solve Probability with Coin Toss Problems
Coin is tossed 3 times => Total number of cases = \(2^3\) = 8
Quantity A: The number of possible outcomes containing exactly 2 heads
Out of the 8 outcomes there are only 3 outcomes in which we get exactly 2 Heads (or 1 Tail) and they are HHT, HTH, THH
Quantity B: The number of possible outcomes containing exactly 1 tail
Out of the 8 outcomes there are only 3 outcomes in which we get exactly 1 Tail (or 2 Heads) and they are HHT, HTH, THH
Clearly, Quantity A = Quantity B = 3
So, Answer will be C
Hope it helps!
Watch the following video to learn How to Solve Probability with Coin Toss Problems
