Which statement is most likely to be true for tossing two coins simultaneously? a.) The probability of getting two heads is close to 0.25 when the number of trials is 100. b.) The probability of getting two heads is close to 0.25 when the number of trials is 25. c.) The probability of getting two heads is close to 0.25 when the number of trials is 10. d.) The probability of getting two heads is close to 0.25 when the number of trials is 5.

Question

Zayden Cisneros

Mathematics

6 March, 07:19

Which statement is most likely to be true for tossing two coins simultaneously? a.) The probability of getting two heads is close to 0.25 when the number of trials is 100. b.) The probability of getting two heads is close to 0.25 when the number of trials is 25. c.) The probability of getting two heads is close to 0.25 when the number of trials is 10. d.) The probability of getting two heads is close to 0.25 when the number of trials is 5.

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Answers (1)

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Jakob Wu · Answer 1

a.) The probability of getting two heads is close to 0.25 when the number of trials is 100.

Step-by-step explanation:

Probability of getting head, tossing one coin: 0.5

probability of getting two heads, tossing two coins: 0.5*0.5 = 0.25

The relative frequency gets closer to the probability as the number of trials increase. They will only coincide if the number of trials is infinite.