Question

Gitta is asked to find the probability of getting all heads on 3 coin tosses. This is a compound event. True or False?

Answer 1

true, you have to get heads previously in order to get 3 in a row

Answer 2

Answer with explanation:

Event Joining by two or more Simple events is called Compound Event.

When you throw a coin once, getting either Head or Tail is a Simple event.

And , when you throw a coin and dice together, getting , Head and 1 , is a Compound event.Because here we joined two simple events, one is Throwing of a coin and another one is throwing a dice.

When you toss a coin thrice, it is combination of three simple events, that is tossing of coin three times .So total possible outcome

      $=2^3\\\\=8$

Which can be written as: {(HHH),(HHT),(HTH),(THH),(HTT),(THT),(TTH),(TTT)}

Probability of getting all heads on 3 coin tosses

  = Sum of three simple events

            $=\frac{HHH}{\text{Total 8 Outcome}}\\\\=\frac{1}{8}$  

or

Probability of Getting head in all three throws

$=\frac{1}{2}\times \frac{1}{2} \times \frac{1}{2}\\\\=\frac{1}{8}$

Yes, this is a Compound event.