P2b – Relative frequency

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Relative frequency (experimental probability)

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Callum flips a coin several times. The coin comes up heads 36 times. Callum worked out that the relative frequency of the coin coming up heads is \(\dfrac{9}{17}\). How many times did he flip the coin?

Hover for answer:

  68 times, since \(\dfrac{9}{17}=\dfrac{36}{68}\)  

Jamie flips a coin several times. The coin comes up tails 40 times. He then works out that the relative frequency of the coin coming up tails is \(\dfrac{11}{25}\). Could Jamie be correct? If so, how many times did the coin come up heads? If he has made a mistake, explain how you know.

Hover for answer:   Jamie is wrong. \(\dfrac{11}{25}\) cannot be written as \(\dfrac{40}{n}\) where \(n\) is an integer.

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