Ask your own question, for FREE!
Mathematics 17 Online
OpenStudy (anonymous):

A coin is tossed three times, with 'heads' or 'tails' recorded after each toss. The number of possible outcomes for this event is

OpenStudy (anonymous):

Eight possible outcomes. Each event has two possible outcomes, we're taking three events, so the answer is \[2^3=8\]

OpenStudy (zzr0ck3r):

2^3=8

OpenStudy (anonymous):

8

OpenStudy (anonymous):

@lock5879, would you like an explanation?

OpenStudy (anonymous):

thankyou guys.

OpenStudy (anonymous):

& yes. please explain.

OpenStudy (anonymous):

okay, think of this as a binary number. there will be three digits, each digit having the possibilty of 1 or 0

OpenStudy (anonymous):

0 = heads 1 = tails you could have all heads = 000 you could have all tails = 111 if you play with the patterns, you can see that you will end up with eight total ways of filling out the three digits

OpenStudy (anonymous):

If it helps, you can actually write out every possibility: 1. HHH 2. HHT 3. HTH 4. HTT 5. THH 6. THT 7. TTH 8. TTT

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!