Probability of Regular Pack of 52 Cards.

52 card pack

Question 1

A card is selected from a regular pack of 52 cards. Find the probability that it is neither black nor a picture card.

There are 26 black cards, 6 black picture cards (J, Q, K) and 6 red picture cards. 6 black picture cards are included in 26 black cards. So the number of cards that are neither black nor picture cards is all cards – black cards – red picture cards.

\( \begin{align} \Pr(\text{neither black or a picture card}) &= 1 – \Pr(\text{black}) – \Pr(\text{red picture}) \\ &= \displaystyle 1 – \frac{26}{52} – \frac{6}{52} \\ &= \frac{20}{52} \\ &= \frac{5}{13} \end{align} \)

Absolute Value Algebra Arithmetic Mean Arithmetic Sequence Binomial Expansion Binomial Theorem Chain Rule Circle Geometry Common Difference Common Ratio Compound Interest Cyclic Quadrilateral Differentiation Discriminant Double-Angle Formula Equation Exponent Exponential Function Factorials Functions Geometric Mean Geometric Sequence Geometric Series Inequality Integration Integration by Parts Kinematics Logarithm Logarithmic Functions Mathematical Induction Polynomial Probability Product Rule Proof Quadratic Quotient Rule Rational Functions Sequence Sketching Graphs Surds Transformation Trigonometric Functions Trigonometric Properties VCE Mathematics Volume




Your email address will not be published. Required fields are marked *