Question

PLEASE HELPPPPPP!!!!! You are performing an experiment to determine how well plants grow under different light sources. Of the 30 plants in the experiment, 12 receive visible light, 15 receive ultraviolet light, and 6 receive both visible and ultraviolet light. What is the probability that a plant in the experiment receives visible or ultraviolet light? please explain so i can know how to do a similar question in the future.

Answer 1

The probability that a plant in the experiment receives visible or ultraviolet light is 7/10.

Step-by-step explanation:

The total number of plants in the experiment = 30 plants

Plants that receive visible light alone = 12 plants

Plants that receive ultraviolet light alone = 15 plants

Plants that receive both visible and ultraviolet light = 6 plants

step 1 :

Probability = No. of required events / Total number

step 2 :

P(visible) = 12 / 30

P(ultraviolet) = 15 / 30

P(both) = 6 / 30

step 3 :

P(visible  or ultraviolet) = P(visible)  + P(ultraviolet) - P(both)

                                         = 12/30 + 15/30 - 6/30

                                         = 21/30

P(visible  or ultraviolet) = 7/10

Answer 2

The required probability that a plant in the experiment receives visible or ultraviolet light is $\dfrac{7}{10}$.

Given that,

The total number of plants in the experiment = 30 plants,

Plants that receive visible light alone = 12 plants,

Plants that receive ultraviolet light alone = 15 plants,

Plants that receive both visible and ultraviolet light = 6 plants.

We have to determine,

The probability that a plant in the experiment receives visible or ultraviolet light.

According to the question,

To find the probability of the plants in the experiment by using the formula given below.

$Probability = \dfrac{Number \ of \ required \ events }{ Total \ number \ of \ events}$

Then, The probability of plants that receive visible light alone is,

$P(visible) = \dfrac{12}{30}\\\\P(visible) = \dfrac{2}{5}$

The probability of plants that receive ultraviolet light alone is,

$P(ultraviolet) = \dfrac{15}{30}\\\\P(ultraviolet) = \dfrac{1}{2}$

The Probability of plants that receive both visible and ultraviolet light,

$P(both) = \dfrac{6}{30}\\\\P(both) = \dfrac{1}{5}$

Therefore,

The probability that a plant in the experiment receives visible or ultraviolet light is,

$P(visible \ or \ ultraviolet ) = P(visible) + P (ultraviolet) + P (both)\\\\P(visible \ or \ ultraviolet ) = \dfrac{2}{5} + \dfrac{1}{2} - \dfrac{1}{5}\\\\P(visible \ or \ ultraviolet ) = \dfrac{4+5-2}{10}\\\\P(visible \ or \ ultraviolet ) = \dfrac{7}{10}$

Hence, The required probability that a plant in the experiment receives visible or ultraviolet light is $\dfrac{7}{10}$.

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https://brainly.com/question/11106296