Question

if we toss a coin that P(H)=2P(T)then probability of head is equal to
A_ 1/2
B_0
C_1/3
D_2/3

Answer 1

As we know P(H) +P(T) =1
So, P(H)+1/2 P(H) =1
3/2 P(H) = 1
P(H) = 2/3

So answer is option D i.e. 2/3

Answer 2

Answer:

Option D - $P(H)=\frac{2}{3}$

Step-by-step explanation:

Given : If we toss a coin that P(H)=2P(T).

To find : Probability of head is equal to ?

Solution :

We know, Total sum of probability is 1.

i.e, $P(H) +P(T) =1$ ....(1)

We have given $P(H)=2P(T)$

Substitute $P(T)=\frac{P(H)}{2}$ in (1)

$P(H) +\frac{P(H)}{2}=1$

$\frac{2P(H)+P(H)}{2}=1$

$\frac{3P(H)}{2}=1$

$3P(H)=2$

$P(H)=\frac{2}{3}$

Therefore, Option D is correct.