BD(probability)

 B(6,1/2) means n =6 and p probabillity of success = 1/2

This gives probability of failure =1/2

P(X=x)=ⁿC_x    q ^{n-x .} p^{x  P(X=0)=6C₀    q 6. p0 =(1/2)  6}

P(X=1)=6C₁    q ⁵. p =6(1/2)  ⁶

P(x =2) = ⁶ C₂ q⁴.p²  = 15.(1/2)⁶

P(X=3) = ⁶C₃.(1/2)⁶ =20.(1/2)⁶ 

P(X=4) = 6C4.(1/2)⁶ =15.(1/2)⁶ 

Probability is max at x=3 and is decreasing afterwards