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}}\\\\=(1)/(8)`

or

Probability of Getting head in all three throws

`=(1)/(2)* (1)/(2) * (1)/(2)\\\\=(1)/(8)`

Yes, this is a Compound event.