Question

A special deck of cards has 6 orange cards, and 6 yellow cards. The orange cards are numbered 1, 2, 3, 4, 5, and 6. The yellow cards are numbered 1, 2, 3, 4, 5, and 6. The cards are well shuffled and you randomly draw one card.A = card drawn is yellowB = card drawn is odd-numbereda) How many elements are there in the sample space? b) P(A) = c) P(B) =

Answer 1

(a) Provided that data, we the sample space has the following elements:

`\begin{gathered} S=\lbrace1,2,3,4,5,6,1,2,3,4,5,6\rbrace \\ \\ \text{ Or 12 elements.} \end{gathered}`

(b) Probability that the card drawn is yellow:

`P(A)=(1)/(2)`

(b) Card drawn is odd-numbered:

`\begin{gathered} P(B)=((1,3,5,1,3,5))/((1,2,3,4,5,6,1,2,3,4,5,6))=(6)/(12)=(1)/(2) \\ \\ P(B)=(1)/(2) \end{gathered}`