Question

Miguel found a coin in the cushions of his car and thought to himself, “What are the chances that, if I flip this coin twice, the same side will come face up both times?” a.Use a tree diagram to show the different possible outcomes if Miguel were to flip his coin twice.

Answer 1

Given:

Miguel flip the coin twice

Required:

Possibility for both time we have same side face up

Step-by-step explanation:

For this first we find the possibility for flip the coin twice and what will face up which are given below

There are two sided on coin first one is heads and second one is tails

In this case we denote heads as H and tails as T

Now the possibility for coin flip for twice

HH

HT

TH

TT

So here total possibilities are 4 and for the same side comes face up is 2

Now use the formula to find the possibility which is given below

`P=\frac{our\text{ possibillity}}{total\text{ possibility}}`

Now just put the vales

`P=(2)/(4)=(1)/(2)=0.5`

Final Answer:

The same side will come face up both times have 0.5 possibility means 50% chance to same side face up.