Binomial Distribution for One through Ten Coin Tosses

One Toss

k=number of heads (or tails)
01
Probability
1
2
1
2

Two Tosses

k=number of heads (or tails)
012
Probability
1
4
1
2
1
4

Three Tosses

k=number of heads (or tails)
0123
Probability
1
8
3
8
3
8
1
8

Four Tosses

k=number of heads (or tails)
01234
Probability
1
16
1
4
3
8
1
4
1
16

Five Tosses

k=number of heads (or tails)
012345
Probability
1
32
5
32
5
16
5
16
5
32
1
32

Six Tosses

k=number of heads (or tails)
0123456
Probability
1
64
3
32
15
64
5
16
15
64
3
32
1
64

Seven Tosses

k=number of heads (or tails)
01234567
Probability
1
128
7
128
21
128
35
128
35
128
21
128
7
128
1
128

Eight Tosses

k=number of heads (or tails)
012345678
Probability
1
256
1
32
7
64
7
32
35
128
7
32
7
64
1
32
1
256

Nine Tosses

k=number of heads (or tails)
0123456789
Probability
1
512
9
512
9
128
21
128
63
256
63
256
21
128
9
128
9
512
1
512

Ten Tosses

k=number of heads (or tails)
012345678910
Probability
1
1024
5
512
45
1024
15
128
105
512
63
256
105
512
15
128
45
1024
5
512
1
1024