I am going to flip two coins simultaneously. What are the possible outcomes in t

Question

I am going to flip two coins simultaneously. What are the possible outcomes in terms of Heads and tails? Using a probability chart show that the odds of getting one Head and one Tail is 50/50. Using a binomial distribution, also show that the probability of getting one Head and one Tail is 50%

I am going to flip two coins simultaneously. What are the possible outcomes in terms of Heads and tails? Using a probability chart show that the odds of getting one Head and one Tail is 50/50. Using a binomial distribution, also show that the probability of getting one Head and one Tail is 50%

I am going to flip two coins simultaneously. What are the possible outcomes in terms of Heads and tails? Using a probability chart show that the odds of getting one Head and one Tail is 50/50. Using a binomial distribution, also show that the probability of getting one Head and one Tail is 50%

Explanation / Answer

When we tossed two coins simultaneously, there are four outcomes

Outcomes: HH TT HT TH

Probability: 1/2 1/2 1/2 1/2

So, odds of getting one Head and one Tail is 50/50.

Now, by binomial

Probability of one head

P(X = 1) = 2C1*(0.5)*(0.5)= 0.5

Probability of one Tail

P(X = 1) = 2C1*(0.5)*(0.5)= 0.5

Hence, probability of getting one Head and one Tail is 50%

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