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Fittoniya [83]
1 year ago
9

A problem is given to three students whose chances of solving it are 1/2, 1/3, and 1/4 respectively. What is the probability tha

t the problem will be solved?.
Mathematics
1 answer:
ryzh [129]1 year ago
6 0

Probability helps us to know the chances of an event occurring. The probability that the problem will be solved is 3/4.

<h3>What is Probability?</h3>

Probability helps us to know the chances of an event occurring. The sum of all the probabilities of an event is always equal to 1. The formula for probability is given as,

\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}

Let the three students be named A, B, and C with probabilities as 1/2, 1/3, and 1/4, respectively.

Now, the sum of all the probabilities of an event is 1. Therefore, we can write,

The Probability that A can not do it = 1 - Probability that A can do it

                                                      = 1 - 1/2

                                                      = 1/2

The probability that B can not do it = 1 - Probability that B can do it

                                                     = 1 - 1/3

                                                      = 2/3

​

The probability that C can not do it = 1 - Probability that C can do it

                                                     = 1 - 1/4

                                                      = 3/4

Now, if any of these solves the problem, the problem is solved. As a result, we may write,

∴P (at  least one of them solves the problem) = 1− probability none of them can solve the problem or

P(A∪B∪C) = 1 − [(1/2)(2/3)(3/4)]

               = 1 - 1/4

               = 3/4

Hence, the probability that the problem will be solved is 3/4.

Learn more about Probability here:

brainly.com/question/795909

#SPJ4

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Answer:

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Step-by-step explanation:

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3 years ago
Rewrite the expression using distributive property : 30x + 6
Anit [1.1K]

Answer:

This cannot be done, but it can be factored as: 6(5x + 1)

Step-by-step explanation:

This expression cannot be distributed any further.

The distributive property is used when multiplying polynomials (multiplying one or more terms by two or more terms). In which case, each term in multiplied by each of the terms in the bracket, for example: .

5(x + 2)  =  5x + 10

We can factor this expression however to go the opposite direction:

30x + 6

Since 30 and 6 are both divisible by 6, we can factor it out of each term.

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3 years ago
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ruslelena [56]

Answer:

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Step-by-step explanation:

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15/-5 < -5x/-5

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3 years ago
NEED HELP NOW!! FOR MATH 10PTS
meriva

Answer:

a)

Step-by-step explanation:

Cost function = revenue function - profit function

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Let's do this in steps, show your work!

<u>#1. We need to move all terms to one side.</u>

<u>x^2 - 7x = 0</u>

<u>#2. Then factor out the common term x.</u>

<u>x(x - 7) = 0.</u>

<u>#3. Simplify to get..</u>

<u>x = 0, 7.</u>

<u />

If you need help with any other question let me know.

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8 0
2 years ago
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