Question

Six coins are tossed simultaneously what is the probability of getting exactly 4 heads

Answer 1

3/12 because there are 6 heads and tails in 6 coins

Answer 2

The probability of getting exactly 4 heads is 0.23.

What is the probability?

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.

Let p represents the probability of getting head in a toss of a fair coin, so

$\rm P=\dfrac{1}{2}\\\\q=1-p\\\\q=1-\dfrac{1}{2}\\\\q=\dfrac{1}{2}$

Let X denote the random variable representing the number of heads in 6 tosses of a coin.

The probability of getting r sixes in n tosses of a fair is given by,

Probability of getting 4 heads :

$\rm P(X=3)=^6C_4\times \left ( \dfrac{1}{2} \right )^4 \times \left ( \dfrac{1}{2} \right )^{6-4}\\\\P(X=3)=15 \times \dfrac{1}{16} \times \left ( \dfrac{1}{2} \right )^{2}\\\\P(X=3)=15 \times \dfrac{1}{16} \times \dfrac{1}{4}\\\\= 0.23$

Hence, the probability of getting exactly 4 heads is 0.23.

To know more about probability click the link given below.

https://brainly.com/question/11234923

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