Question

How many leaves on a tree diagram are needed to represent all possible combinations tossing a coin 4 times?

Answer 1

1/2 x 1/2 x 1/2 x 1/2 = 1/16

Answer: 16

Answer 2

Answer with explanation:

When you toss a coin once , total possible outcome =2={H, T}

When you toss a coin twice , total possible outcome =2²=4={HT,TH,T T,H H}

When you toss a coin thrice , total possible outcome =2³=8

               ={T T T,T TH, T HT,H T T,H HT,H TH,T H H,H H H}

When you toss a coin 4 times , total possible outcome

 $2^4=16$

={T T T T, T T TH, H T T T,T H T T,T T HT,T T H H,H H T T,T H HT,H T TH,H TH T,T H TH, H H HT,H T H H,TH H H,H H TH,H H H H}

=16

There are 16 possible outcomes in all.

So, total number of leaves needed on the tree Diagram = 16 Leaves