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Question 10
Steven fosses a fair coin 100 times. The coin lands on heads 57 times and tails 43 times.
What is the probability and relative frequency of the coin landing on heads?
A
The probability is 50% and the relative frequency 43%
B
The probability is 50% and the relative frequency 57%
The probability is 43% and the relative frequency 50%.
D
The probability is 57% and the relative frequency 50%.

Question

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Respuesta :

dyllondemon dyllondemon · Answer 1 · 2021-04-15T16:45:46+02:00

Answer: D

Step-by-step explanation:

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MrRoyal MrRoyal · Answer 2 · 2022-04-20T14:06:16+02:00

The probability of the coin landing on heads is 50% and the relative frequency of the coin landing on heads is 57%

The sample space of a coin is:

S = {Head, Tail}

The sample size is:

n(S) = 2

The probability of the coin landing on heads is calculated as:

P(Head) = n(Head)/n(S)

So, we have:

P(Head) = 1/2

Express as percentage

P(Head) = 50%

Hence, the probability of the coin landing on heads is 50%

From the question, we have:

Toss = 100

Head = 57

The relative frequency of the coin landing on heads is calculated as:

Frequency = 57/100

Express as percentage

Frequency = 57%

Hence, the relative frequency of the coin landing on heads is 57%