You have a fair coin. You flip the coin two times. Let T1T1 be the event that the first flip (Flip 1) results in Tails. Let T2T2 be the event that the second flip (Flip 2) results in Tails. Are the events T1T1 and T2T2 independent?

Question

Caitlin Porter

Mathematics

19 December, 22:08

You have a fair coin. You flip the coin two times. Let T1T1 be the event that the first flip (Flip 1) results in Tails. Let T2T2 be the event that the second flip (Flip 2) results in Tails. Are the events T1T1 and T2T2 independent?

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Answers (1)

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Felicity Weber · Answer 1

Yes, the events T1 and T2 are independent.

Step-by-step explanation:

When flipping a fair coin, for each flip, there is a 50/50 chance that it will result in heads or tails.

For the first flip, P (T1) = 0.5

For the second flip, P (T2) = 0.5 regardless of the outcome of the first flip. Therefore, T1 and T2 are independent events.

*Note that if the question asked for the event of both flips resulting in tails, then the events would be dependent.