Question

Which of the following descriptions matches the sequence of events shown
in the tree diagram below?

Answer 1

The answer would be d- tossing s coin, tossing a second coin, and tossing a third coin

Answer 2

Answer:

Option: D is the correct answer

D. Tossing a coin, tossing a second coin and tossing a third coin.

Step-by-step explanation:

We know that when a coin is tossed then there are only two possible outcomes i.e. either a head or a tail.

Now, when a second coin is tossed then again we have two possible outcomes i.e. head and a tail.

and the total sample space of the two events is given by:

HH    HT   TT     TH

Now, when a coin is tossed third time then in than two outcomes are possible on the coin i.e. a head and a tail.

Hence, the total number of outcomes are:

HHH    HTH    TTH   THH

HHT     HTT     TTT    THT

i.e. when a coin is tossed n times that the total possible outcomes are:

                           $2^n$

Here the coin is tossed three times.

Hence, the total possible outcomes are:  $2^3=8$