i am doing math and i need help on two questions

Question

A school band sold 30 raffle tickets, each labeled with a number from 1 to 30. One winning ticket will be drawn.



What is the probability that the number of the winning ticket will be a multiple of 4 or the number 19? Express your answer in simplest form.

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The fruit basket at a summer camp contained 4 oranges and 5 apples. Carlos chose 1 piece of fruit at random from the basket and gave the fruit to his friend Duncan. Then Carlos reached in again and chose another piece of fruit at random for himself.



What is the probability that Duncan received an orange and that Carlos then received an apple? Express your answer in simplest form.

 

Answer 1

Hi Joseph,

 

Lets figure out how many multiples of 4 there are

 

4,8,12,16,20,24,28   (so there are 7

 

and now lets include 19 

 

we get a total of 8 results that would satisfy the conditions of this question

 

so the probability is 8/30

 

4/15   or 26.667%

 

 

Fruit Problem

 

1st fruit orange   = 4/9

2nd fruit apple     = 5/8  (becasue the orange is gone

 

 

4/9 * 5/8  = 5/18  or 27.778%