Mathematics, 09.01.2020 05:31 eddy2616

A3-digit number is written on a paper. what is the probability that it starts with 3?

Answers: 3

Show answers

Answers

Answer from: markcardenas2756

The probability that the written 3 digit number starts with 3 is 1/9

Explanation:

The total number of 3-digit numbers starting from 100 till 999, including both these endpoints, is 900. Since the first digit can be any number from 1 to 9; tens (second digit) and hundreds’ (third digit) can be any number from 0 to 9;( 9×10×10 = 900). Therefore, three-digit numbers in between 100 and 999 = Total possible number of outcomes = 900.

For 3-digit number to start with 3, the first digit (hundreds’ place) has to be 3. The tens place (2nd digit) and units place can be any number from 0 to 9. Therefore, total number of favorable outcomes for the three digit number to start from 3 is 1×10×10 = 100 (numbers from 300 to 399)

Probability = Total number of favorable outcomes / Total possible outcomes = 100/900 = 1/9

Answer from: nathangirnet

The probability of 3 digit number starts with 3 is $\frac{1}{9}$ .

The total number of 3-digit numbers starting from 100 till 999 , including both these endpoints is 900.

Since the first digit can be any number from 1 to 9;

Tens (second digit) and third hundreds’ (digit) can be any number from 0 to 9; ( 9×10×10 = 900) .

Therefore, it possible outcomes between three digit number is 100 and 999 = Total possible number of outcomes = 900.

According to given condition;

For 3-digit number to start with 3,

The first digit (hundreds’ place) has to be 3.

The tens place (2nd digit) and units place can be any number from 0 to 9.

Therefore, total number of favorable outcomes for the three digit number to start from 3 is 1×10×10 = 100 (numbers from 300 to 399).

$Probability = \frac{Total no. of favorable outcomes }{Total no. of possible outcomes} \\\\P = \frac{100}{900} \\\\P = \frac{1}{9}$

The probability of 3 digit number starts with 3 is $\frac{1}{9}$ .

For more details about probability distribution click the link given below.

Answer from: Quest

Sin(a)+cos(a)+cot(a)-1=2(csc(x)+1)

Answer from: Quest

the answer is 24

step-by-step explanation:

Another question on Mathematics

Mathematics, 20.06.2019 18:04

Which expresions are equivalent to the one below? check all that apply. 5x

Answers: 3

Answer

Mathematics, 21.06.2019 18:30

Is the square root of 4 plus the square root of 16 rational?

Answers: 2

Answer

Mathematics, 22.06.2019 01:00

First work with stencil one. use a combination of reflections, rotations, and translations to see whether stencil one will overlap with the original pattern. list the sequence of rigid transformations you used in your attempt, noting the type of transformation, the direction, the coordinates, and the displacement

Answers: 3

Answer

Mathematics, 22.06.2019 01:30

Urgent need asap △abc is similar to △xyz. also, side ab measures 6 cm, side bc measures 18 cm, and side xy measures 12 cm. what is the measure of side yz ? enter your answer in the box.