Free Practice Question
PS · Problem Solving
555-605
Combinations
What is the probability of obtaining exactly four heads when flipping a fair coin six times?
Answer Choices
Correct answer marked belowA
1/64
15/64
Correct
C
5/16
D
3/8
E
1/2
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Explanation
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Official Explanation
Official
To find the probability of getting exactly four heads in six flips of a fair coin, we can use the binomial probability formula. The specific outcome of four heads and two tails, such as HHHHTT, can occur in multiple arrangements. The formula is given…
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Comments
2
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N
NathanOct 21, 2024
This is definitely a test-day trap
E
EndeJan 27, 2025
good question
What this question tests
What it tests
Whether you can count arrangements and selections correctly — permutations vs. combinations.
Common trap
Overcounting: treating a selection as ordered when order does not matter, or forgetting to divide by duplicates.
Details
Difficulty
555-605
Type
PS
Category