Question

Sali throws an ordinary fair 6-sided dice once.

a) what is the probability she gets a 6?

Tim throws the same dice twice.

b) what is the probability he gets a 6 on both throws?

Tony throws the dice once. He also throws a coin to get Heads or Tails. Two of the outcomes are 1H and 2 H.

c) List all the other outcomes in the same format.

1H. 2H

Answer 1

`a=p=(1)/(6)\\\\b. \ p=(1)/(12)\\\\c.\ 1H,1T,2H,2T,3H,3T,4H,4T,5H,5T,6H,6T`

Explanation:

a. A fair dice has 6 sides with unique identities.

-The sample space of one throw is 6 and each face has an equal chance of showing up.

-The probability of a 6 is calculated as:

`p(six)=(1)/(6)\\\\or \ =0.1667`

Hence, the probability of a 6 is
`(1)/(6)`

b.A fair die has 6 unique faces.

-Two throws will have a sample space of 12.

-Each face has an equal probability of appearing twice.

-The probability of a 6 on both throws is:

`P(six)=2* (1)/(6)\\\\=(1)/(12)`

c. A coin has 2 sides(head, tail) and a die has 6 sides.

-The total sample space for the simultaneous throw of a coin and die is 12.

-The resultant sample space is :

`1H,1T,2H,2T,3H,3T,4H,4T,5H,5T,6H,6T`