Six coin are tossed simultanously. Find the probability of getting no

1.	Six coin are tossed simultanously. Find the probability of getting no head.
Answer» Let P be the probability of getting a head in the toss of a coin. Then P = 1/2 Let q = prob of not getting a head = 1 - P = 1/2 Let X = number of success in the experiment So, X can take value 0,1,2,3,4,5,6 i.e., n = 6 Now P(x = r) = ⁿc_rp^r.q^{n - r} So, P(no head) = P(x = 0) = ⁶c₀(1/2)⁰.(1/2)^{(6 - 0)} = 1/64

Six coin are tossed simultanously. Find the probability of getting no head.

Answer»

Let P be the probability of getting a head in the toss of a coin.

Then P = 1/2

Let q = prob of not getting a head = 1 - P = 1/2

Let X = number of success in the experiment

So, X can take value 0,1,2,3,4,5,6 i.e., n = 6

Now P(x = r) = ⁿc_rp^r.q^{n - r}

So, P(no head) = P(x = 0) = ⁶c₀(1/2)⁰.(1/2)^{(6 - 0)} = 1/64