8.7 Coin And Die Problem
8.7.1 Tossing A Coing Twice
First Coin | |||
---|---|---|---|
H | T | ||
Second Coin |
H | HH | HT |
T | TH | TT |
Tossing a coin twice is equivalent to tossing two coins at once
What is the probability that
- The Head appears at the first draw?
- At least one Head appears?
- Less than two Heads appear?
- Only Tails appears?
8.7.2 Flipping A Coin Thrice
First Two Flips | |||||
---|---|---|---|---|---|
HH | HT | TH | TT | ||
Third Flip | H | HHH | HHT | HTH | HTT |
T | THH | THT | TTH | TTT |
What is the probability that
- All three are Heads?
- There are more than one Head?
- The second draw gives a Head?
- The third draw does not give a head?
- The first draw gives a Tail but the the Draw does not?
- At most one Head appears?
8.7.3 Flinging Two Dice at Once
Tossing Two Dice at Once |
First Die | ||||||
---|---|---|---|---|---|---|---|
1 | 2 | 3 | 4 | 5 | 6 | ||
Second Die |
1 | 1,1 | 1,2 | 1,3 | 1,4 | 1,5 | 1,6 |
2 | 2,1 | 2,2 | 2,3 | 2,4 | 2,5 | 2,6 | |
3 | 3,1 | 3,2 | 3,3 | 3,4 | 3,5 | 3,6 | |
4 | 4,1 | 4,2 | 4,3 | 4,4 | 4,5 | 4,6 | |
5 | 5,1 | 5,2 | 5,3 | 5,4 | 5,5 | 5,6 | |
6 | 6,1 | 6,2 | 6,3 | 6,4 | 6,5 | 6,6 |
What is the probability that
- The first numbers is odd?
- The summation of numbers in two draws is a prime number?
- Both numbers are same?
- The second number is bigger?