no. of attempts of a coin tossed 4 times #maths #probability #mathstrick #toss

[saisawant]

Four coin tossed = 2⁴ = 16 outcome
Half of 16 = 8 time H and 8 time T
Half of 8 = 4 time H and 4 time T
Half of 4 = 2 time H and 2 time T
Half of 2 = 1 time H and 1 time T

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
T H H H
T H H T
T H T H
T H T T
T T H H
T T H T
T T T H
T T T T

[simplybraino]

A coin is tossed 4 times. Let X1 denote the number of heads in the first two throws let x2 denote the number of heads in the last three throws . Let X=[X1, X2]. Find the mean of X and covariance of X.
To find the mean of X and the covariance of X, we can start by calculating the mean of each random variable X1 and X2, and then use those values to compute the covariance.

Mean of X1: Since X1 denotes the number of heads in the first two throws of a fair coin, each toss is independent and has a probability of 0.5 of resulting in heads. So, the mean of X1 is:

Mean(X1) = 2 * (Probability of Heads) = 2 * 0.5 = 1

Mean of X2: X2 denotes the number of heads in the last three throws. Similarly, each of these tosses is independent and has a probability of 0.5 of resulting in heads. So, the mean of X2 is:

Mean(X2) = 3 * (Probability of Heads) = 3 * 0.5 = 1.5

Now that we have the means of X1 and X2, we can calculate the covariance of X using the formula for covariance:

Cov(X1, X2) = E[X1 * X2] - Mean(X1) * Mean(X2)

Since each toss is independent, the covariance simplifies:

Cov(X1, X2) = E[X1] * E[X2] - Mean(X1) * Mean(X2) = 1 * 1.5 - 1 * 1 = 1.5 - 1 = 0.5

So, the mean of X is [Mean(X1), Mean(X2)] = [1, 1.5], and the covariance of X is Cov(X1, X2) = 0.5

[monicaselesmuwaya]

Hi, can you help me with this question, A coin is tossed four times.Let X1 denote the number of heads in the first two throws and let X2 denote the number of heads in the last three throws. Let X = [X1, X2]. Find the mean of X and the covariance X

[tanishkaagarwal]

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[MohitYadav-mmmi]

MAm aap board pe likhkr chapters ke lecture kyu nhi upload krti ? Views ache jayenge

[simplybraino]

Lets see who all can write the remaining attempts,

[aryabhattacharya]

Iss trick kya only for 4 times tossing?

[asmatnabi]

mam three coins k liye b trick boliye