There are 15 cards, numbered 1 through 15. If you pick a card, what is the probability that you choose an odd number or a two? A) 2 ___ 3 B) 3 ___ 5 C) 8 ___ 15 D) 8 ___ 225

Answer:Option B. [tex]P=\frac{3}{5}[/tex] Step-by-step explanation:we know that The probability of an event is the ratio of the size of the event space to the size of the sample space.  The size of the sample space is the total number of possible outcomes  The event space is the number of outcomes in the event you are interested in.  so  Let x------> size of the event space y-----> size of the sample space  so [tex]P=\frac{x}{y}[/tex] In this problem we have odd number are the cards ----> 1,3,5,7,9,11,13, and 15 (total 8 cards)so1) the probability that you choose an odd number is[tex]x=8[/tex] [tex]y=15[/tex] substitute [tex]P=\frac{8}{15}[/tex] 2) the probability that you choose  a two is[tex]x=1[/tex] [tex]y=15[/tex] substitute [tex]P=\frac{1}{15}[/tex] 3) the probability that you choose an odd number or a two isSum the probabilities[tex]P=\frac{8}{15}+\frac{1}{15}=\frac{9}{15}[/tex] Simplify[tex]P=\frac{3}{5}[/tex]