Question

1.) The probability that an event will happen is P(E)= 24/37. Find the probability that the event will not happen.

The probability that the event will not happen is__

2.) Identify the sample space of the probability experiment and determine the number of outcomes in the sample space.

Randomly choosing an even number between 10 and 20 comma inclusive

The sample space is__ ​(Use a comma to separate answers as needed. Use ascending​ order.)

There are __ outcome(s) in the sample space.

3.) A restaurant offers a​ $12 dinner special that has 5 choices for an​ appetizer, 10 choices for an​ entrée, and 4 choices for a dessert. How many different meals are available when you select an​ appetizer, an​ entrée, and a​ dessert?

A meal can be chosen in __ ways.

4.) A probability experiment consists of rolling a​ 6-sided die. Find the probability of the event below.

rolling a number less than 6

The probability is __. ​(Type an integer or decimal rounded to three decimal places as​ needed.)

Answer 1

1) P(E) = 24/37

p(not E) = 1_ 24/37 =13/37. Answer

2) An even number is to be chosen between 10 and 20 inclusive.

They are 10,12,14,16,18,20.

These are outcomes.

Sample space ={10,1214,16,18,20}

3) A meal is available with the following choices

appetizers......5

entree.............10

dessert...........4

By Fundamental principle of counting,

the number of ways that a meal can be chosen =5*10*4 =200 answer

4) When you roll a die there will be 6 out comes i.e 1,2,3,4,5,6

Of these outcomes the outcomes that are less than 6 are 1,2,3,4,5

These are 5 in number.

P(<6)= # of favourable outcomes ÷ total number of outcomes

= 5÷6 = 0.833 answer