Question

What are the odds in favor of getting at least one head in three successive flips of a coin?
Answer: 1/2
Is this correct?
Could you please explain if I got it wrong?
Thanks.

Answer 1

No. Figure the probability of getting three <b>tails</b> in three tosses, then the probability of getting at least one head is that subtracted from one.

Pr(atleastoneHead)=1-Pr(three tails)

Answer 2

The sample space of outcomes is small enough so we can list them
HHH
HHT
HTH
HTT
THH
THT
TTH
TTT

notice that there are 7 with at least one H, and only one with no H

so the odds in favour of getting at least one head in three successive flips of a coin is 7:1

(I hope you meant "odds" and not probability.
The prob of at least one head is 7/8

odds in favour of some some event = (prob of that event):(prob of NOT that event)

Answer 3

Thanks.