a drawing class was assigned a final project where students had to choose one art medium and one subject…

a drawing class was assigned a final project where students had to choose one art medium and one subject. the teacher kept track of the types of projects submitted.\nthe probability that a student used markers is 0.31, the probability that a student chose to draw a pair of shoes is 0.31, and the probability that a student used markers and chose to draw a pair of shoes is 0.16.\nwhat is the probability that a randomly chosen student used markers or chose to draw a pair of shoes?\nwrite your answer as a whole number, decimal, or simplified fraction.

a drawing class was assigned a final project where students had to choose one art medium and one subject. the teacher kept track of the types of projects submitted.\nthe probability that a student used markers is 0.31, the probability that a student chose to draw a pair of shoes is 0.31, and the probability that a student used markers and chose to draw a pair of shoes is 0.16.\nwhat is the probability that a randomly chosen student used markers or chose to draw a pair of shoes?\nwrite your answer as a whole number, decimal, or simplified fraction.

Answer

Explanation:

Step1: Recall probability formula

We use the formula $P(A\cup B)=P(A)+P(B)-P(A\cap B)$. Let $A$ be the event of using markers and $B$ be the event of drawing a pair of shoes.

Step2: Substitute values

Given $P(A) = 0.31$, $P(B)=0.31$ and $P(A\cap B)=0.16$. Then $P(A\cup B)=0.31 + 0.31- 0.16$.

Step3: Calculate result

$P(A\cup B)=0.46$.

Answer:

$0.46$