Question

Write all possible outcomes, when: i) a coin is tossed once. ii) a coin is tossed two times or two coins are tossed together once. iii) a coin is tossed three times.

Answer 1

Step-by-step explanation:

Given :-

i)a coin is tossed once.

ii) a coin is tossed two times or two coins are tossed together once.

iii) a coin is tossed three times.

To find :-

Write all possible outcomes

Solution:-

We know that

If "n" coins are tossed once then the total number of possible outcomes are 2^n

I) If a coin tossed once then the total possible outcomes are 2^1 = 2 .

They are:

Head (H)

Tail (T)

ii) a coin tossed two times or two coins are tossed together once then the total possible outcomes are 2^2 =4.

They are:

Head and Head (HH)

Head and Tail (HT)

Tail and Head (TH)

Tail and Tail ( TT)

iii)a coin is tossed three times. then the total possible outcomes are 2^3 = 8.

They are :

Head , Head , Head (HHH)

Head, Head , Tail (HHT)

Head ,Tail , Tail (HTT)

Head, Tail , Head (HTH)

Tail , Head , Head ( THH)

Tail , Tail , Head ( TTH)

Tail, Head , Tail ( THT)

Tail , Tail , Tail (TTT)

Used formula:-

If "n" coins are tossed once then the total number of possible outcomes are 2^n