Question

When two coins are tossed find the probability that both coins will land with

tails- up?​

Answer 1

Answer:

The probability of getting heads on the toss of a coin is 0.5. If we consider all possible outcomes of the toss of two coins as shown, there is only one outcome of the four in which both coins have come up heads, so the probability of getting heads on both coins is 0.25. The second useful rule is the Sum Rule.

Answer 2

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