Question

ПОМОГИТЕ ПЛИЗ На чотирьох картках записано числа 3, 4, 5 і 6. Яка ймовірність того, що добуток чисел, записаних на двох навмання вибраних картках, буде кратним числу 3?

Answer 1

Ответ:3x4=12 3x5=15 5x6=30

Пошаговое объяснение:

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Answer 2

To calculate the probability that the product of two randomly chosen numbers from the given set of cards (3, 4, 5, and 6) will be divisible by 3, we need to determine the total number of possible outcomes and the number of favorable outcomes.

Total Number of Possible Outcomes:

Since we are choosing two cards from a set of four, the total number of possible outcomes can be calculated using the combination formula. The formula for calculating combinations is:

nCr = n! / (r!(n-r)!)

Where n is the total number of items and r is the number of items chosen at a time.

In this case, we have 4 cards and we are choosing 2 at a time. So the total number of possible outcomes is:

4C2 = 4! / (2!(4-2)!) = 6

Therefore, there are 6 possible outcomes when choosing two cards from the given set.

Number of Favorable Outcomes:

To determine the number of favorable outcomes, we need to find the pairs of numbers whose product is divisible by 3.

The numbers in the given set are 3, 4, 5, and 6. Let's consider all possible pairs:

- (3, 3): The product is 9, which is divisible by 3. - (3, 4): The product is 12, which is divisible by 3. - (3, 5): The product is 15, which is divisible by 3. - (3, 6): The product is 18, which is divisible by 3. - (4, 4): The product is 16, which is not divisible by 3. - (4, 5): The product is 20, which is not divisible by 3. - (4, 6): The product is 24, which is divisible by 3. - (5, 5): The product is 25, which is not divisible by 3. - (5, 6): The product is 30, which is divisible by 3. - (6, 6): The product is 36, which is divisible by 3.

From the above pairs, we can see that there are 6 favorable outcomes where the product is divisible by 3.

Calculating the Probability:

To calculate the probability, we divide the number of favorable outcomes by the total number of possible outcomes:

Probability = Number of Favorable Outcomes / Total Number of Possible Outcomes

In this case, the probability that the product of two randomly chosen numbers from the given set of cards will be divisible by 3 is:

Probability = 6 / 6 = 1

Therefore, the probability is 1, which means that it is certain that the product of two randomly chosen numbers from the given set of cards will be divisible by 3.

Please let me know if there is anything else I can help you with!