Question

This probability is greater than the probability of flipping exactly two tails, which is .

Answer 1

Answer:

The probability of getting exactly two tails = 1/4

All the values greater than 1/4

or 3/4

Step-by-step explanation:

In a flip of a coin the probability of getting a tail is 1/2. If this is denoted by p =1/2 then q= 1-p= 1-1/2= 1/2

and if we have number of trials n=2

Then the binomial distribution can be applied.

(p+q)ⁿ =(p+q)² = 2c0p⁰q2 + 2c1p¹q¹ + 2c2p²q⁰

We wish to find probability of flipping exactly two coins  given by 2c2p²q⁰

= 2c2 (1/2)²(1/2)⁰

= 1/4

So the probability of getting exactly two tails = 1/4

The probability greater than 1/4 can be  all the values from 2/4, 3/4 ------1

or it can be found by

1- 1/4 = 3/4

as the total probability is always equal to 1