What is the probability that he will choose at least one of the pairįrom how many elements you can create 4560 combinations of the second class? The Minister of Education draws 4 of them. There are 8 styles of graduation topics from the Slovak language. What is the probability to hit the target: a) just once b) at least once c The first hit the target with a probability of 0.7 second with a probability of 0.8 and a third with a probability of 0.9.
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Three shooters shoot, each one time, on the same target. Calculate how many possible ways can the elections finish, if any two parties will not get the same number of votes. In elections candidate 10 political parties. How many different planes are determined by these points? There are 12 points in space, with no 3 lying on a straight line. (ġ0 trees in 5 lines grows in the orchard. State the probability that the sample mean of a random sample of 36 stoach weights exceeds 943g. Stoach weights are normally distributed, with mean 904g and standard deviation 104g. Stoaches are fictional creatures distantly related to bigfoot and yeti. intersect and opposite and its combinations): If probabilities of A, B and A ∩ B are P (A) = 0.62 P (B) = 0.78 and P (A ∩ B) = 0.26 calculate the following probability (of union. In how many ways can we select four dancing couples? What are students in the bottom the 20% having what GPA?Īt the disco goes 12 boys and 15 girls. The average GPA is 2.78 with a standard deviation of 4.5. What is the probability that he will fail from Math and from others will succeed? The student masters the subject matter for the exam in Czech to 98%, from Math to 86% and from Economics to 71%. How many different triads can be selected from group 38 students? How many options do we have?įoundation of combinatorics in word problems C k ′ ( n ) = ( k n + k − 1 ) = k ! ( n − 1 ) ! ( n + k − 1 ) ! Įxplanation of the formula - the number of combinations with repetition is equal to the number of locations of n − 1 separators on n-1 + k places.Ī typical example is: we go to the store to buy 6 chocolates.