A coin is tossed 3 times and out comes are recorded. how many possible outcomes are there?

Question

this question is of subject maths and chapter "Pernutation & Combination"

Answer 1

One coin tossed 3 times:

There are 2^3 = 8 equally-likely outcomes:
A 1 in 8 probability of 3 heads.
A 3 in 8 probability of 2 heads and 1 tail.
A 3 in 8 probability of 1 head and 2 tails.
A 1 in 8 probability of 3 tails.

This is row 3 of Pascal's triangle of course.

One coin tossed 4 times:

There are 2^4 = 16 equally-likely outcomes:
A 1 in 16 probability of 4 heads.
A 4 in 16 probability of 3 heads and 1 tail.
A 6 in 16 probability of 2 heads and 2 tails.
A 4 in 16 probability of 1 head and 3 tails.
A 1 in 16 probability of 4 tails.

This is row 4 of Pascal's triangle.

One coin tossed 5 times:

There are 2^5 = 32 equally-likely outcomes:
A 1 in 32 probability of 5 heads.
A 5 in 32 probability of 4 heads and 1 tail.
A 10 in 32 probability of 3 heads and 2 tails.
A 10 in 32 probability of 2 heads and 3 tails.
A 5 in 32 probability of 1 head and 4 tails.
A 1 in 32 probability of 5 tails.

This is row 5 of Pascal's triangle.
I hope the pattern is clear?

Answer 2

8

Answer 3

Eight (2x2x2). But there are only 4 different outcomes if it doesn't matter which ORDER the results come in:

1. 0 heads and 3 tails
2. 1 heads and 2 tails
3. 2 heads and 1 tails
4. 3 heads and 0 tails

Answer 4

N!(A) where N is the number of possible outcomes and A is the amount of tries.
2!(3)
2(3)
6 outcomes

More Specifically...
HHH
HHT
HTH
HTT
THH
THT
TTH
TTT

Answer 5

There is only one coin with 2 sides = 2 possible outcomes

Answer 6

The answer should be 2^3 = 8.

Answer 7

2*2*2=8 different outcomes

Answer 8

I SUCK at math but come on.you're just being lazy.