Question

Josh has a bag containing pieces of candy. the bag contains 10 red circular pieces, 10 red square pieces, 10 blue triangular pieces, and 10 blue star-shaped pieces. he draws a red piece of candy from the bag. what is the complement of this event? *

Answer 1

First, we must sum the number of pieces of candy:
 
 Total pieces of candy=10 red circular pieces of candy+10 red square pieces of candy+10 blue triangular pieces of candy+10 blue star-shaped pieces of candy  Total pieces of candy=40 pieces 
 We have: 20 red pieces of candy and 20 blue pieces of candy.

 Event A: To draw a red candy from the bag (The shape of the piece of candy is not specified).
  
 The complement of the Event A is: 1-Probability of the Event A. In other words, the probability of any event but A.
 
 Event A: Probability of a red candy (It does not matter the shape of it)=20/40=0.5
 
 Complement: 1-P(red candy)⇒1-P(red candy)=1-0.5
 
 Complement of A=0.5
 
 The probability that Josh  does not draw a red candy from the bag is 0.5