## Example

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 \( \text{(J, Q, K)} \) 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.*

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

Algebra Algebraic Fractions Arc Binomial Expansion Capacity Common Difference Common Ratio Differentiation Double-Angle Formula Equation Exponent Exponential Function Factorials Factorise Functions Geometric Sequence Geometric Series Index Laws Inequality Integration Kinematics Length Conversion Logarithm Logarithmic Functions Mass Conversion Mathematical Induction Measurement Perfect Square Perimeter Prime Factorisation Probability Product Rule Proof Quadratic Quadratic Factorise Ratio Rational Functions Sequence Sketching Graphs Surds Time Transformation Trigonometric Functions Trigonometric Properties Volume