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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 a diamond not an ace
A
$\frac{12}{13}$
B
$\frac{12}{13}$
C
$\frac{12}{13}$
D
$\frac{12}{13}$
Solution
When a card is drawn from a well shuffled deck of $52$ cards, the number of possible outcomes is $52$
We assume that the event 'Card drawn is an ace' is $B.$
Therefore Card drawn is not an ace' should be $B ^{\prime}$
We know that $P \left( B ^{\prime}\right)=1- P ( B )=1-\frac{4}{52}=1-\frac{1}{13}=\frac{12}{13}$
Standard 11
Mathematics