Answer:
2 dollars ( approx )
Explanation:
Given,
Initial numbers of dollars = 100,
In each shake the number of removed dollars ( in which head appeared ) = 1,
We have to find the number of dollars after 6 shakes,
Also, the coins in which tail appear will be remained.
∵ Probability of getting tail in each trial = [tex]\frac{1}{2}[/tex]
Thus, the total probability of getting tail in 6 trials = [tex](\frac{1}{2})^6[/tex]
Hence, the number of dollars remained = initial number × probability of tail in 6 trials
[tex]=100\times (\frac{1}{2})^6[/tex]
[tex]=\frac{100}{64}[/tex]
[tex]=1.5625[/tex]
[tex]\approx 2[/tex]
