## baileyraee1997 3 years ago what is the probability of getting tails five times in a row with a two-sided coin

1. Grazes

It would be (1/2)^5 because the probability of getting tails is 1/2 and you're flipping 5 coins

2. gitahimart

\[(1/2)^{5} =????\]

3. jessicajuanng

you want to draw a tree diagram. do you know how to do that?

4. baileyraee1997

no

5. jessicajuanng

f|dw:1342993341121:dw|

6. jessicajuanng

have you seen something like this?

7. jessicajuanng

you should stem it into 5 events with the different possibilities and then see how many of the branches lead up to having 5 ts in a row.

8. jessicajuanng

it should be 1/32 possibilities.

9. jessicajuanng

because there are 32 ways you can have t and h put together 5 times.

10. jessicajuanng

hthhh, hthht, hthth, hthtt, htthh, htthht, httth, htttt, hhhhh, hhhht, hhhth, hhhtt, hhthh, hhtht, hhtth, hhttt thhhh, thhhht, ththh,ththt, thtth, etc

11. jessicajuanng

so the only one that lines up is 1/32 combinations.

12. jessicajuanng

i am guess this is stats right?

13. jessicajuanng

guessing*

14. Grazes

More like 2nd grade algebra lol

15. jessicajuanng

Ah, I see. Well, I like the simplicity of your answer. I'm taking stats, and oh my gosh. You have to come up with all of these reasons for why you have your answer! haha

16. Grazes

I opt-ed out for stats for calc instead :P

17. jessicajuanng

Oh I see, I'm taking pre-cal right now and next will be stats in August. How was Calc?

18. Grazes

Easy. Just simple memorization

19. jessicajuanng

Good to know!! I will definitely commit to sleeping then, so I can consolidate my memory! ;)