Math and Arithmetic

How many possible outcomes of tossing a coin 3 times have exactly 1 head?

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2008-10-06 08:16:17
2008-10-06 08:16:17

The outcomes are: heads, tails, tails or tails, heads, tails or tails, tails, heads. You can see that there are 3 possible outcomes with exactly 1 head.

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There are 26 = 64 possible outcomes.


There are 210 total possible outcomes from flipping a coin 10 times.There is one possible outcome where there are 0 heads.There are 10 possible outcomes where there is 1 head.So there are 210 - 11 possible outcomes with at least 2 heads.(1013)



Do you mean what are all the possible outcomes? Or what is the probability of a certain outcome? Need a little more information.



There are 2^5 (2*2*2*2*2), or 32, possible outcomes of tossing a coin 5 times. Only one of those outcomes does not contain any tails. This leaves us with 31/32, or 97% chance of at least one toss coming up tails.



If a coin is tossed 15 times there are 215 or 32768 possible outcomes.


3 - hht, hth, thh I TRIED to use capital letters and got a "take the caps lock off". I have always used capital letters to indicate heads and tails, but the answer is 3.


2x2x2=8 possible outcomes. In general for n tosses there are 2^n outcomes.


Possible outcomes of a single dice are 6 ( 1,2,3,4,5,6) So if 5 such dices are rolled then the number of possible outcomes are 6 mulitiplied by 6 five times. 6x6x6x6x6x6=46656 possible outcomes.



Two possible outcomes for each flip. 2,048 possible histories of 11 flips.


Because there are only 2 outcomes for the flip of a coin, for 5 flips you just need to take (1/2)5, which equals 1/32. This implies there are 32 different outcomes for the case of tossing a coin 5 times. From these 32 outcomes 5 have exactly 4 heads: THHHH, HTHHH, HHTHH, HHHTH, and HHHHT. So the probability of getting exactly 4 heads when you toss a coin 5 times is: P(4H,!T) = 5/32 = 0.15625 ≈ 15.6%


Possible outcomes of rolling a die 5 times = 6^5 Number of outcomes including rolling exactly one 4: 5^5 (5*5^4) 5^5/6^5 = 3125/7776 ~= 0.4019


Possible outcomes of rolling a die 5 times = 6^5 Number of outcomes including rolling exactly one 2: 5^5 (5*5^4) 5^5/6^5 = 3125/7776 ~= 0.4019


Two outcomes (H,T) flipped 3 times is 23 or 8.



There are 32 possible outcomes. HHHHH, HHHHT, HHHTH, HHTHH, HTHHH, THHHH, HHHTT, HHTHT, HHTTH, HTHHT, HTHTH, HTTHH, THHHT, THHTH, THTHH, TTHHH, HHTTT, HTHTT, HTTHT, HTTTH, THHTT, THTHT, THTTH, TTHHT, TTHTH, TTTHH, HTTTT, THTTT, TTHTT, TTTHT, TTTTH, TTTTT.


when you toss a coin three times, the total number of possible outcomes is


There are 4 possible outcomes. There are 2 outcomes (heads or tails) on the first toss and 2 on the second toss. The possibilities are HH, TT, HT and TH.


Two times the number of outcomes of the spin - which is not specified in the question.


Out of the 16 possible outcomes for a coin tossed four times, 4 of them result in 3 Tails & 1 Head. They are: TTTH, TTHT, THTT, and HTTT.



252/1024 or 0.246. One method of calculating it is this: The total number of outcomes possible by tossing a coin 10 times is 2 to the 10th, which is 1024. In addition, getting 5 heads in 10 tosses is like arranging 5 identical objects in 10 spaces (the remaining 5 spaces are by default Tails), which can be done in 10C5 ways, which is 252. So the probability of getting 5 heads is 252/1024.



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