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14.Probability
easy
One card is drawn from a well shuffled deck of $52$ cards. If each outcome is equally likely, calculate the probability that the card will be not a diamond.
A
$\frac{3}{4}$
B
$\frac{3}{4}$
C
$\frac{3}{4}$
D
$\frac{3}{4}$
Solution
When a card is drawn from a well shuffled deck of $52$ cards, the number of possible outcomes is $52$
We assumed in $(i)$ above that $A$ is the event 'card drawn is a diamond',
so the event 'card drawn is not a diamond' may be denoted as $A'$ or $'$ not $A'$
Now $P$ (not $A$) $=1- P ( A )=1-\frac{1}{4}=\frac{3}{4}$
Standard 11
Mathematics