Question

Six coins are tossed 6400 times using probability distribution what is the approximate probability of gwtting six heads x times

Answer 1

Probability of getting one head with one coin = 1/2 [ n(E) = 1 , n(S) = 2 {∵ H , T } so, P(E) = 1/2]

∴ probability of getting six heads with six coins, P(E) = (1/2)⁶ = 1/2⁶ = 1/64

If six coins are tossed 6400 times , then nP(E) = 6400 × 1/64 = 100 = m [ Let ]

According to poisson's distribution ,

P(x = r) =

Here, probability of getting six heads is in r times

so, r = 2 , m = 100

Hence, P(x = 2) = e to the power -100 100square2÷2

=e to the power -100 with 5000