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Probability

The probability of a certain event is a number expressing the likelihood that a specific event will occur, expressed as the ratio of the number of actual occurrences to the number of possible occurrences. In mathematics, it is a measure of how often an event will happen and is the basis of statistics.

14,643 Questions

What is the probability of rolling greater than 7 with two dice?

P(8 or greater on two dice) = P(2 on first and 6 on second) + P(3 on first and at least 5 on second) + P(4 on first and at least 4 on second) + P(5 on first and at least 3 on second) + P(6 on first and at least 2 on second) = (1/6 * 1/6) + (1/6 * 2/6) + (1/6 * 3/6) + (1/6 * 4/6) + (1/6 * 5/6) = (1 + 2 + 3 + 4 + 5)/36 = 15/36

P(8 or greater on two dice) = 15/36, or 5/12.

How is probability represented?

Usually as a fraction or ratio. (desired results) : (all results)

Can the probability of an outcome be zero?

Yes. But there are at times philosophical problems at stating that the probability of an outcome that either has never been observed is zero. As a supposition or assumption, we can say that a particular outcome is zero, but how do we prove it? For example, I might believe that it is physically impossible for a person to weigh more than 1,000 lbs as no human on earth weighs that much, but if just one person weighs more than a 1,000 lbs, I have to accept that this outcome has a finite probability. We can come to the conclusion of impossibility by our cumulative knowledge. For example, it is impossible for a person to run 200 mph. World athelete's running speeds are very close, far below 200 mph. I can't prove it rigorously, but it is a rational conclusion based on our knowledge. To most people, if something has a chance of success of one in a billion or one in a trillion, this is close enough to impossible. However, even with these low probabilities, the result is still not impossible. For example, most people would think that winning the lotto 10 times in a row would be impossible, but the probability is above zero, therefor possible.

What is the probability of dying from jumping off a building?

This question cannot be answered.

The height of the building is what matters in this, and also how one hits the ground.

If you 'land' feet first, you might survive with serious injuries.

If you 'land' on your head you will most likely die immediately.

If the building is anything over 25 feet you will most likely die.

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Jumping off is not the problem - it's the sudden stop that does the damage. Base-jumpers 'fall' off buildings regularly and live, even from enormous heights - they have parachutes. And stuntmen fall off buildings and out high windows and live because they either land on piled up cardboard boxes or into a swimming pool of have some other way of cushioning their impact.

If you roll two die what is the probability that one die will roll a one and the second die will roll a two?

Assuming you are talking about fair, six-sided dice, then the probability of rolling a 1 on the first roll in 1/6, and the probability of rolling a 2 on the second roll is 1/6. Putting these together, the probability of rolling 1 on the first die and 2 on the second die is 1/36. If you do not care about the order, then you could roll 1,2 or 2,1; in this case the probability would be 2/36, or 1/18.

The probability of tossing three coins simultaneously and obtaining two heads and one tail is?

Looking at the total possibilities, you have eight different outcomes:

TTT

TTH

THH

HHH

HHT

HTT

HTH

THT

Counting your two heads, one tails, you get a total of 3 possibilities out of 8, or 3/7

What is a Fibonacci Numbers?

The Fibonacci numbers is a series of numbers that are found in nature and other things. The series goes 0,1,1,2,3,5,8,13,21 and so on. You just add the last two numbers in the series. 0+1=1, 1+1=2, 2+1=3, and so on.

Probability of tossing a coin 8 times?

One hundred percent it you toss the coin eight times.

If you draw a card from a standard deck of cards what is the probability of drawing a heart or a face card?

13 hearts in a standard deck = 13/52

12 face cards in the deck = 12/52

3 face cards which are ALSO hearts = 3/52

SO:

13/52 + 12/52 - 3/52 = 22/52, reduced to 11/26

The last answer given, 25,52 was incorrect.

When rolling a cube what is the probability of rolling a number greater than 6?

It depends on how the six sides are numbered. In a standard die, it is zero percent.

What does and mean in probability?

It means multiply, Probaility of A and B means probability of A multiplied by probability of B.

Why was the venn diagram invented?

So that you could visualize the various permutations in boolean algebra.

The role of an event organiser?

Event organisers are responsible for the production of events from conception through to completion. They work in the public, private and not-for-profit sectors and can work for event management companies, in-house for an organisation or freelance. The role of event organiser is hands-on and often involves working as part of a team. Event organisers must be able to complete a wide range of activities requiring clear communication, excellent organisational skills and attention to detail. They must work well under pressure, ensuring the smooth and efficient running of an event. The role of event organiser varies depending on the organisation and type of event involved. Typical activities include:

§ researching markets to identify opportunities for events

§ liaising with clients to ascertain their precise event requirements

§ producing detailed proposals for events (e.g. timelines, venues, suppliers, legal obligations, staffing and budgets)

§ agreeing to and managing a budget

§ securing and booking a suitable venue or location

§ ensuring insurance, legal, health and safety obligations are adhered to

§ coordinating venue management, caterers, stand designers, contractors and equipment hire

§ organising facilities for car parking, traffic control, security, first aid, hospitality and the media

§ identifying and securing speakers or special guests

§ planning room layouts and the entertainment programme, scheduling workshops and demonstrations

§ coordinating staffing requirements and staff briefings

§ selling sponsorship/stand/exhibition space to potential exhibitors/partners

§ preparing delegate packs and papers

§ liaising with marketing and PR colleagues to promote the event

§ liaising with clients and designers to create a brand for the event and organising the production of tickets, posters, catalogues and sales brochures

§ coordinating suppliers, handling client queries and troubleshooting on the day of the event to ensure that all runs smoothly

§ overseeing the dismantling and removal of the event and clearing the venue efficiently

§ post-event evaluation (including data entry and analysis and producing reports for event stakeholders)