PLZ HELP!!!! Eva is playing a game at the school carnival. There is a box of marbles, and each box has a white, a green, a blue, and an orange marble. There is also a fair 2-sided coin. How many outcomes are in the sample space for pulling a marble out of the box and tossing the coin?

Respuesta :

The answer is 8
The Outcomes:
1)white marble,head
2)white marble,tails
3)green marble,head
4)green marble,tails
5)blue marble,head
6)blue marble,tail
7)orange marble,head
8)orange marble tail

Answer: There are 8 outcomes that are in the sample space for pulling a marble out of the box and tossing the coin.

Step-by-step explanation:

Since we have given that

There are 4 types of box :

White, green, blue and an orange color.

There is also a fair 2-sided coin.

Since there is two possibilities of tossing a coin .

i.e. Head and tail.

We need to find the number of outcomes are in the sample space for pulling a marble out of the box and tossing the coin :

1) (White, Head)

2)) (White, Tail)

3) (Green, Tail)

4) (Green, Head)

5) (Orange, Tail)

6) (Orange, Head),

7) (Blue, Head)

8) (Blue, Tail)

So, Number of outcomes is given by

[tex]4\times 2\\\\=8[/tex]