the digits 1 2 3 4 5 and 6 are randomly arranged to form a 3 digit number find the probability that the number is even and greater than 600

Respuesta :

The probability of number greater than 600 and even is 1/10.

What is probability?

Probability is that the branch of arithmetic regarding numerical descriptions of however doubtless an occurrence is to occur, or however doubtless it's that a proposition is true.

Main body:

There are total of 5 digits, of which we arrange 3 of them.

Therefore using permutations we can find total possible 3-number combinations.

5P3 = 5*4*3 = 60

To be greater than 600 means first digit must be 6. (1 possibility)

A number is even only if last digit is even, 2 or 4.  (2 possibilities)

The 2nd digit then can only be 3,5, (2 or 4).    (3 possibilities)

The total possible even 3-digit numbers greater than 600 is product of each digit's possibilities.

---> 1*3*2 = 6

Therefore probability  of number greater than 600 and even is 6/60 = 1/10.

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brainly.com/question/13604758

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