Question

1. One day, you are playing around with the change in your pocket. You decide to flip one coin and then you decide to flip two coins. Remember, a coin can land on either heads or tails and each coin flip is independent. Calculate the following probabilities:

One Coin Flip Probabilities:

P (heads) =

P (tails) =

Two Coin Flips Probabilities:

P (of at least one heads) =

P (of at least one tails) =

P (heads and heads) =

P (heads and tails) =

P (tails and tails) =

P (tails and heads) =

Answer 1

1). One Coin Flip Probabilities:

sample space :-{ H,T } ,  where H indicates a head, and T a tail.

total number of outcomes = 2

the needed probabilities be:-

P (heads) =	$\mathbf{\frac{1}{2}}$
P (tails) =	$\mathbf{\frac{1}{2}}$

2).Two Coin Flips Probabilities:

sample space :-{ HH , HT , TH , TT } ,  where H indicates a head, and T a tail.

total number of outcomes = 4

the needed probabilities be:-

	answers	calculation
P (of at least one heads) =	$\mathbf{\frac{3}{4}}$	the needed outcomes are: {HH,HT,TH} number of outcomes = 3 probability = 3/4
P (of at least one tails) =	$\mathbf{\frac{3}{4}}$	the needed outcomes are: {TT,HT,TH} number of outcomes = 3 probability = 3/4
P (heads and heads) =	$\mathbf{\frac{1}{4}}$	the needed outcome ={HH} probability = 1/4
P (heads and tails) =	$\mathbf{\frac{1}{4}}$	the needed outcome ={HT} probability = 1/4
P (tails and tails) =	$\mathbf{\frac{1}{4}}$	the needed outcome ={TT} probability = 1/4
P (tails and heads) =	$\mathbf{\frac{1}{4}}$	the needed outcome ={TH} probability = 1/4

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