The probability of heads or tails in each flip is independent of other flips.
In a normal coin, we know
p(heads) = 0.5
p(tails) = 0.5
We want 2 heads and 3 tails in 5 flips. So, we want:
H H T T T
Each individual heads or tails is 0.5
We multiply each of them, thus
[tex]p(2H,3T)=0.5\times0.5\times0.5\times0.5\times0.5=0.03125[/tex]
In percentage:
0.03125 * 100 = 3.125%
Rounding to nearest hundredth [2 decimal places] >>> 3.13%
Final Answer:
3.13%
