QuestionFind the probability a randomly chosen shopper arrived by car or bus from 1,050 shoppers: 550 by car, 120 by bus.

Studdy Solution

STEP 1

Assumptions1. The total number of shoppers is1,050. The number of shoppers who arrived by car is5503. The number of shoppers who arrived by bus is1204. We are looking for the probability that a randomly picked shopper arrived either by car or bus

STEP 2

The probability of an event is calculated by dividing the number of ways the event can occur by the total number of outcomes. In this case, the event is a shopper arriving either by car or bus, and the total number of outcomes is the total number of shoppers.
$Probability = \frac{Number\, of\, ways\, event\, can\, occur}{Total\, number\, of\, outcomes}$

STEP 3

The number of ways the event can occur is the sum of the number of shoppers who arrived by car and the number of shoppers who arrived by bus.
$Number\, of\, ways\, event\, can\, occur = Number\, of\, shoppers\, who\, arrived\, by\, car + Number\, of\, shoppers\, who\, arrived\, by\, bus$

STEP 4

Plug in the given values for the number of shoppers who arrived by car and the number of shoppers who arrived by bus.
$Number\, of\, ways\, event\, can\, occur =550 +120$

STEP 5

Calculate the number of ways the event can occur.
$Number\, of\, ways\, event\, can\, occur =550 +120 =670$

STEP 6

Now, we can calculate the probability that a randomly picked shopper arrived either by car or bus.
$Probability = \frac{Number\, of\, ways\, event\, can\, occur}{Total\, number\, of\, outcomes} = \frac{670}{1050}$

STEP 7

This mathematical operation corresponds to option a.
$550 /1050 +120 /1050$ So, the correct answer is option a.

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