Question

The Titanic Used the data in the following table, which summarizes results from the sinking of the titanic.

	Men	Women	Boys	Girls
Survived	332	318	29	27
Died	1360	104	35	18

1. If one of the Titanic passengers is randomly selected, find the probability of getting someone who is a women or survivor.
2. If one of the Titanic passengers is randomly selected, find the probability of getting a man and someone who survived the sinking.
3. If one of the Titanic passengers is randomly selected, find the probability of getting a boy or girl?
4. If one of the Titanic passengers is randomly selected, find the probability of getting a man, given that the selected person died.
5. If Three of the Titanic passengers is randomly selected, find the probability of all three are boys?

Answer 1

	Men	Women	Boys	Girls	Total
Survived	332	318	29	27	706
Died	1360	104	35	18	1517
Total	1692	422	64	45	2223

If one of the Titanic passengers is randomly selected, find the probability of getting someone who is a women or survivor.

P[ someone who is a women or survivor ] = Number of people who is a women or survivor / Total number of people

Number of people who is a women or survivor = number of women + number of survivor - number of women survivor

Number of people who is a women or survivor = 422 + 706 - 318

Number of people who is a women or survivor = 810

P[ someone who is a women or survivor ] = 810 / 2223

P[ someone who is a women or survivor ] = 0.3644

If one of the Titanic passengers is randomly selected, find the probability of getting a man and someone who survived the sinking.

P[ someone who is a man and survivor ] = Number of people who is a man and survivor / Total number of people

Number of people who is a man and survivor = 332

P[ someone who is a man and survivor ] = 332 / 2223

P[ someone who is a man and survivor ] = 0.1493

If one of the Titanic passengers is randomly selected, find the probability of getting a boy or girl?

P[ getting a boy or girl ] = Number of getting a boy or girl / Total number of people

Number of getting a boy or girl = number of boys + number of girls

Number of getting a boy or girl = 64 + 45

Number of getting a boy or girl = 109

P[ getting a boy or girl ] = 109 / 2223

P[ getting a boy or girl ] = 0.049

If one of the Titanic passengers is randomly selected, find the probability of getting a man, given that the selected person died.

P[ getting a man | the selected person died ] = P[ Man died ]/P[ A person died ]

P[ Man died ] = Number of man died / total number of people

P[ Man died ] = 1360 / 2223

P[ A person died ] = Number of people died / total number of people

P[ A person died ] = 1517 / 2223

P[ getting a man | the selected person died ] = (1360/2223)/(1517/2223)

P[ getting a man | the selected person died ] = 1360/1517

P[ getting a man | the selected person died ] = 0.8965