Math

QuestionA data analyst has spreadsheets 1,2, databases 1,2,3, and presentations 1,2,3,4. What's the probability of picking an odd-numbered database?

Studdy Solution

STEP 1

Assumptions1. The data analyst has spreadsheets,3 databases, and4 presentations to work on this week. . A single item is picked at random to work on.
3. We need to find the probability that the item is a database and has an odd number.

STEP 2

First, we need to find the total number of items the data analyst has to work on. We can do this by adding the number of spreadsheets, databases, and presentations.
Totalitems=Numberofspreadsheets+Numberofdatabases+NumberofpresentationsTotal\, items = Number\, of\, spreadsheets + Number\, of\, databases + Number\, of\, presentations

STEP 3

Now, plug in the given values for the number of spreadsheets, databases, and presentations to calculate the total number of items.
Totalitems=2+3+Total\, items =2 +3 +

STEP 4

Calculate the total number of items.
Totalitems=2+3+4=9Total\, items =2 +3 +4 =9

STEP 5

Next, we need to find the total number of databases that have an odd number. Since the databases are numbered1,2, and3, there are2 databases with an odd number (1 and3).

STEP 6

Now that we have the total number of items and the number of databases with an odd number, we can calculate the probability. The probability of an event is calculated by dividing the number of favorable outcomes by the total number of outcomes.
Probability=Numberoffavorableoutcomes/TotalnumberofoutcomesProbability = Number\, of\, favorable\, outcomes / Total\, number\, of\, outcomes

STEP 7

Plug in the values for the number of favorable outcomes (databases with an odd number) and the total number of outcomes (total items) to calculate the probability.
Probability=2/9Probability =2 /9The probability that the item is a database and has an odd number is 2/92/9.

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