Since, there are 6 science fiction stories, 4 adventure stories, 3 historical stories and 2 sport stories.
So, total number of stories = 6+4+3+2 = 15 stories
Probability that Artie selects a science fiction story = [tex]\frac{6}{15}[/tex]
Probability that Artie selects an adventure story = [tex]\frac{4}{15}[/tex]
Probability that story selected is either a science fiction or adventure fiction = P(Science) + P(Adventure)
= [tex]\frac{6}{15} + \frac{4}{15}[/tex]
= [tex]\frac{10}{15}[/tex]
= 0.66
=0.67
Therefore, the probability that the story Artie selects is either a science fiction story or an adventure story is 0.67.
Answer:Probability of selecting either A or B P(A∩B)=2/3.
Step-by-step explanation:
Total number of story books=6+4+3+2=15
Let A be the event of selecting science fiction story
then its probability P(A)=number of science stories/total stories=6/15
Now let B be the event of selecting adventure story P(B)=number of adventure stories/total stories
=4/15
thus Probability of selecting either A or B P(A∩B)=P(A)+P(B)=6/15+4/15=10/15=2/3.
