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A card is drawn from a pack of 52 cards. The card is drawn at random. What is the probability that it is neither a spade nor a Jack?
Answer & Solution
Correct Answer:
Option
D
There are 13 spade and 3 more jack
Probability of getting spade or a jack:
$$\eqalign{ & = \frac{{13 + 3}}{{52}} \cr & = \frac{4}{{13}} \cr} $$
So probability of getting neither spade nor a jack:
$$\eqalign{ & = 1 - \frac{4}{{13}} \cr & = \frac{9}{{13}} \cr} $$
Probability of getting spade or a jack:
$$\eqalign{ & = \frac{{13 + 3}}{{52}} \cr & = \frac{4}{{13}} \cr} $$
So probability of getting neither spade nor a jack:
$$\eqalign{ & = 1 - \frac{4}{{13}} \cr & = \frac{9}{{13}} \cr} $$
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