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LekaFEV [45]
2 years ago
8

A box contains plain pencils and 7 pens. A second box contains 6 colored pencils and 2 crayons. One item from each box is chosen

at random. What is the probability that a plain pencil from the first box and a color pencil from the second box are selected? Write your answer as a fraction.
Mathematics
2 answers:
kondaur [170]2 years ago
3 0

Answer:

it is 3 as a simplified fraction

Step-by-step explanation:

BOX 1) 5 plain pencils and 7 pens.  

BOX 2) 6 color pencils and 2 crayons.  

Plain pencil (first box) ~  5 : 7  

Color pencil (second box) ~ 6 : 2  

Simplify.  

3 : 1   <== Second box

arlik [135]2 years ago
3 0
The person above me is right I got the answer correct
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Answer:

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Step-by-step explanation:

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6 0
3 years ago
a cooler contains 50 bottles; 30 bottles of water, which 8 are lemon flavored and 20 bottles of tea, of which 5 are lemon flavor
xenn [34]

Answer:

The required probability is \dfrac{13}{50}

Step-by-step explanation:

Total number of bottles = 50

Total number of water bottles = 30

Total number of lemon flavored water bottles = 8

Total number of tea bottles = 20

Total number of lemon flavored tea bottles = 5

<em>Probability of selecting a lemon flavored water bottle = Probability of selecting a water bottle </em>\times<em> Probability of selecting a lemon bottle out of water bottles.</em>

<em></em>

<em>Probability of selecting a lemon flavored tea bottle = Probability of selecting a tea bottle </em>\times<em> Probability of selecting a lemon bottle out of tea bottles.</em>

Formula for probability of an event E can be observed as:

P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}

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Probability of selecting a lemon flavored bottle from water bottle:

\dfrac{8}{30}

<em>Probability of selecting a lemon flavored water bottle = P(A)</em>

<em></em>\dfrac{3}{5} \times \dfrac{8}{30} = \dfrac{4}{25}<em></em>

<em></em>

Probability of selecting a tea bottle:

\dfrac{20}{50} = \dfrac{2}{5}

Probability of selecting a lemon flavored bottle from tea bottle:

\dfrac{5}{20} = \dfrac{1}{4}

<em>Probability of selecting a lemon flavored tea bottle = P(B)</em>

<em></em>\dfrac{2}{5} \times \dfrac{1}{4} = \dfrac{1}{10}<em></em>

<em></em>

<em>The required probability is:</em>

<em>P(A) + P(B):</em>

<em></em>\dfrac{4}{25} + \dfrac{1}{10}\\\Rightarrow \dfrac{8+5}{50}\\\Rightarrow \dfrac{13}{50}<em></em>

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