Question

True or False? The probability of flipping two coins and each landing on tails represents an independent probability.

Answer 1

Answer:

Step-by-step explanation:

you can multiply the probabilities of each single outcomes in this case

For first coin the probability of tail is =1/2

For second coin the probability of tail is also =1/2

2^2 or (2 X 2)←- according to permutation theorem when objects repetition is allowed the sample would be 4 for 2 coin tosses

Sample Space={HH,HT,TH,TT}

For getting tail in first coin =1/2

For getting tail in second coin =1/2

For getting both tail for 2 coins=1/2*1/2=1/4

Getting tail for 3 coins

So what you would do you will create how many ways would be HT comes in,lets say for 3 coins

2^3 or (2 X 2 X 2)←- according to permutation theorem when objects repetition is allowed the sample would be 8 for 3 coin tosses

Sample space ={HHH,HHT,HTH,THH,TTT,TTH,THT,HTT}

We know in each toss the tail outcome has 1/2 probabilities so for having 3 tails

{TTT}=1/2*1/2*1/2=1/8