+0

# probability

0
100
1

A box contains 5 blue beads, 4 yellow beads and 3 purple beads. Three beads are taken from the bag, at random, without replacement.
a) What is probability of picking, in order, a blue bead followed by a yellow bead followed by a purple bead?
b) Work out the probability that all three beads will be the same colour.
c) What is the probability that the three beads will not be the same colour.

Apr 20, 2020

#1
+20767
+2

blue  =  5         yellow  =  4         purple  =  3          total  =  12

a) blue      = 5/12

yellow  =  4/11      (only 11 beads remain)

purple  =  3/10      (only 10 beads remain)

Multiplying these together:  5/12  x  4/11  x  3/10  =

b)  to be three beads of the same color, they could:

--   all be blue:          5/12  x  4/11  x  3/10     =  answer #1

--   or all be yellow:  4/12  x  3/11  x  2/10     =  answer #2

--   or all be purble:  3/12  x  2/11  x  1/10     =  answer #3
The text passage contains a probability problem with multiple questions and partial answers provided for some of the questions.
multiple_questions_with_answers
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
+0

# probability

0
100
1

A box contains 5 blue beads, 4 yellow beads and 3 purple beads. Three beads are taken from the bag, at random, without replacement.
a) What is probability of picking, in order, a blue bead followed by a yellow bead followed by a purple bead?
b) Work out the probability that all three beads will be the same colour.
c) What is the probability that the three beads will not be the same colour.

Apr 20, 2020

#1
+20767
+2

blue  =  5         yellow  =  4         purple  =  3          total  =  12

a) blue      = 5/12

yellow  =  4/11      (only 11 beads remain)

purple  =  3/10      (only 10 beads remain)

Multiplying these together:  5/12  x  4/11  x  3/10  =

b)  to be three beads of the same color, they could:

--   all be blue:          5/12  x  4/11  x  3/10     =  answer #1

--   or all be yellow:  4/12  x  3/11  x  2/10     =  answer #2

--   or all be purble:  3/12  x  2/11  x  1/10     =  answer #3
user
The text passage contains a probability problem with multiple questions and partial answers provided for some of the questions.

TYPE: MULTIPLE_QUESTIONS_WITH_ANSWERS