Question

You picked a card at random from a deck of 52, noted the suit of the card, and then replaced the card. You repeated this experiment 99 more times. Your observations are as shown below.

$$\begin{array}{cc}\text{Suit}& \text{Frequency}\\ \text{Spades}& 23\\ \text{Diamond}& 26\\ \text{Club}& 21\\ \text{Heart}& 30\end{array}$$

Find the probability of drawing
(i) Spades
ii) Diamonds
(iii) Clubs
(iv) Hearts.
Show that the sum of these probabilities is 1. [4 MARKS]

Answer 1

Solution: 1Mark each

Probability of drawing Spades = $\frac{23}{100}$ = 0.23
Probability of drawing Diamonds= $\frac{26}{100}$ = 0.26
Probability of drawing Spade = $\frac{21}{100}$ = 0.21
Probability of drawing Spade = $\frac{30}{100}$ = 0.30
Hence the sum of these probabilities = 0.23 + 0.26 + 0.21 + 0.30 = 1.