Abox contains one yellow, two red, and three green balls. two balls are randomly chosen without replacement. define the following events: : { one of the balls is yellow } : { at least one ball is red } : { both balls are green } : { both balls are of the same color }. find the following conditional probabilities: (a) p(bia) (b) p(dib) (c) p(cid)

Answer and explanation:

Given : A box contains one yellow, two red, and three green balls. Two balls are randomly chosen without replacement.

To find : Define the following events and the following conditional probabilities ?

Solution :

Number of yellow balls = 1

Number of red balls = 2

Number of green balls = 3

Let A be the event that 'One of the balls is yellow'

So,

Let B be the event that 'At least one ball is red'

So,

Let C be the event that 'Both balls are green'

So,

Let D be the event that 'Both balls are of the same color'

So,

Conditional probabilities,

a)

means one ball is yellow and one is red,

b)

means both ball are red,

c)

means both ball are green,

this excerpt is taken from the book “we shall not be moved : the women’s factory strike of 1909 “ and is written by joan dash. it is the story of the great strike when almost 30thousand women working in factories in america formed a union to fight unsafe working conditions, long working hours and miserable wages.

question: which best states the author’s purpose for including this information in the text?

answer: to challenge the reader’s ideas about a historical event