Can you calculate probabilities with a scientific calculator?

With a scientific calculator.

Yes, it is possible to calculate probability.

Target. Casio-type scientific calculators:

1.After powering on, press [mode], [2] to enter the statistics mode;

2.Press [1], [M+], 2], [M+], 4], [M+], 5, [M+], and enter the data.

3.Press [shift],[2],[2],[=] to find the standard deviation of the sample.

If you need variance, you just need to square the results.

Kenko-type scientific calculators:

1.After powering on, press [mode], [2] to enter the statistics mode;

2.Press [1], [M+], 2], [M+], 4], [M+], 5, [M+], and enter the data.

3.Press [shift],[2],[=] to find the standard deviation of the sample, and if you need the variance, you only need to square the result.

Note: Some of these models need to press [1] at the beginning of the third step, that is, the coefficient is required.

A·MAX Scientific Calculator:

1.After powering on, press [mode], [1] to enter the statistics mode;

2.Press [1], [M+], 2], [M+], 4], [M+], 5, [M+], and enter the data.

3.Press [rcl], [ to find the standard deviation of the sample, if you need variance, you only need to square the result.

Note: After entering the data, as long as it is not cleared (shut down or press the clear button), it can be used any time to calculate with other data.

Yes, but it's complicated. You have to switch the modes, and you have to enter a series of formulas and buttons to figure it out. If you want me to say, it might be faster to use your hands.

Scientific calculators are not mainly used to calculate probability, and the main thing required to calculate probability is the correct algorithm and skills.

1. Probability of Finding the Probability by the List Method 1. The method of analyzing and solving the probability of certain events by using the first circle method of listing ** is called the list method. 2. Application of the list method When two factors are to be designed in a test, and the number of possible results of the collapse is large, the list method is usually used to list all possible results without duplication or omission.

2. Treemap method to find probability 1. Treemap method is to list all the possible outcomes of an event through a column treemap, and the method of finding its probability is called the treemap method. 2. The conditions for using the dendrogram method to find the probability When three or more factors are to be designed in a test, it is inconvenient to use the list method.

3. Estimating probability by frequency 1. Estimating probability by frequency Under the same conditions, a large number of repeated experiments can be done to gradually stabilize the frequency of a random event to a certain constant, and the probability of the occurrence of this event can be estimated. 2. In statistics, relatively simple test methods are often used to replace complex tests in actual operation to complete probability estimation, and such experiments are called simulation experiments. 3. Random number In random events, it is necessary to use a large number of repeated experiments to generate a string of random data to carry out statistical work.

These randomly generated data are called random numbers.

p(abc)=p(a)p(b)p(c)。

If events a, b, and c are independent of each other, then p(abc) = p(a)p(b)p(c).

If events a, b, and c are not independent of each other, i.e., whether event a occurs or not is related to event b or event c, then p(abc) is not equal to p(a)p(b)p(c).

Brief introduction.

The quantification of the probability of an event occurring introduces "probability". The total number of independent repetitions n, the frequency of event a, the frequency of event a(a)= n, is there a stable value for the frequency fn(a) of a? If there is, the stable value p of frequency n is said to be the probability of event a occurring, denoted as p(a)=p (statistical definition of probability).

p(a) is objective, while fn(a) is empirical. In statistics, the value of fn(a) when n is very large is sometimes used as an approximation of probability.

Probability is a measure of how likely an event is to occur. The probability that it will not happen is 0, and the probability that it will happen is 100%, which can also be said to be 1For example, when a coin is tossed, there is a 50% chance that heads and tails will appear, and a 1 in 6 probability that each side of the sieve will appear, and these probability values can be figured out through intuition and experience.

Although we know that several experiments are not necessarily the result, the frequency of occurrence will be close to the probability value when there are many experiments, and the frequency will be equal to the probability when there are infinite times.

Several basic propositions of probability can be known through intuition and experience, which can also be said to be axioms, and the Soviet mathematician Kolmogorov summarized 3 axioms of probability.

1.The probability of an event occurring is not less than 0

2.If one of the events in the set occurs, the sum of the probabilities is equal to 1

3.If the events in the set do not tolerate each other and do not intersect, the probability of at least one occurring is equal to the sum of the probabilities of each event.

These 3 axioms do not need to be memorized, and they do not need to be deliberately used when applying, and they can be used to figure out probability calculations by intuition and experience and arithmetic thinking.

From these 3 axioms, 6 theorems can also be derived, and there is no need to memorize or even know them.

Probability calculations are not like equations, where equations are simply listed separately considering the meaning of each value, and then the equation can be transformed. This cannot be done with column probability equations, those probability theorems and probability formulas and how to write them, such as: Bayesian formula p(a|b)=p(b|a)*p(a) p(b) is not very helpful in listing probability equations, nor can it reduce the difficulty of analysis and reasoning, that is, the axiomatic significance of probability knowledge is not significant.

When calculating probability, you only need to think arithmetically, directly list the equations according to intuition and experience, and then perform four operations. In simple cases, you can directly list an equation to calculate the probability value, and in a slightly complex case, you need to list several equations separately, and then convert them.

1---20, randomly select 3 numbers, a total of 20x19x18 3 2=1140 combinations.

For the 5 numbers that have been selected before, there are 5x4x3 3 2 = 10 combinations of any 3 vertical dust numbers.

That is to say, as long as any of these 10 combinations appear, these 3 numbers will appear in 5 numbers.

Therefore, the probability of 3 numbers appearing in 5 numbers is: 10 1140 = 1 114

The previous calculation is the probability of picking 5 numbers once, if you choose 80 times, then the probability is 1-(113 114) 80

Choose 3 numbers from the 5 startup numbers: C(5,3).

Choose these 3 numbers from 20 numbers: c(20,3), and the remaining 2 numbers from 17 numbers, c(17,2).

The probability sought: c(5,3) [c(20,3)*c(17,2)] Choose 80 times to find things, and the last is still 5 numbers, so the first choice is the same as the 81st choice.

Table disorder cover caution method: AB+BC+AC

Steps: ab+bc+ac+abc=ab+bc+ac(1+b)=ab+bc+ac

a'bc+ab'c+abc'+abc=(a+a')bc+ac(b+b')+ab(c+c'Honor) = ab+bc+ac

Self-study Objectives:1Knowing how often a rental inspection is carried out through a large number of repetitions can be used as an estimate of the probability of an event.

2.Understand the meaning of probability in context.

3.Let students experience the process of searching and failing the conjecture experiment, collecting data, and analyzing the results, enrich the experience of random phenomena, and realize that probability is a mathematical model to describe the laws of uncertain phenomena. Gain a preliminary understanding of the relationship between frequency and probability.

Heavy and difficult: 1Understand the meaning of probability in context.

2.A preliminary understanding of the relationship between frequency and probability.

Self-study process: 1. Preparation before class:

1. When a is a necessary event, p(a)=; When a is an impossible event, p(a)=;

The range of probability p(a) for any event a is; 2 The more likely an event is, the closer it is to Opposite, the smaller the probability of an event occurring, the closer its probability

3. In general, in a large number of repeated trials, if, then this constant p is called the probability of event a, which is denoted as. 4. In the above definition, what do m and n mean? What is the range of chain leaks? Why?

5.Which of the following events is random? What events are inevitable? What are the impossible events?

1) The thrown shot put will fall (2) The result of an athlete's 100-meter race is 2 seconds.

3) For the movie ticket bought, the seat number is single number (4) x2 1 is a positive number.

5) When tossing a coin, the coat of arms is facing upwards.

6 What is the difference and connection between frequency and probability?

2. Self-directed learning

1 A shopping mall has set up a turntable that can be rotated freely, and stipulates: customers can get a chance to spin the turntable when shopping more than 10 yuan, and when the turntable stops, the pointer can get the corresponding prize in which area The following table is a set of statistics in the course of the activity: