Chandler has 4 coins if he flips one right after the other what is the probability that the results will have 2 heads and 2 tails

Chandler has 4 coins if he flips one right after the other what is the probability that the results will have 2 heads and 2 tails class=

Respuesta :

Answer:

P(2h,2t) = 3/8

Step-by-step explanation:

If we flip a coin 4 times, there are 2^4 = 16 different outcomes.  We need to see how many have 2 heads and 2 tails.  

List all possible outcome and see which have 2 heads and 2 tails..

We will let H represent heads, and T represent tails

We could have...

T T T T

T T T H

T T H T

T T H H      *

T H T T

T H T H      *

T H H T      *

T H H H

H H H H

H H H T

H H T H

H H T T      *

H T H H

H T H T      *

H T T H      *

H T T T

The ones with a * are results with 2 heads and 2 tails...

So there are 6/16 ways this can happen, which reduces to 3/8