One card is drawn from a well shuffled deck of 52 cards. If each outcome is equally likely, calculat

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14.Probability

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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

A

$\frac{1}{4}$

B

$\frac{1}{4}$

C

$\frac{1}{4}$

D

$\frac{1}{4}$

Solution

When a card is drawn from a well shuffled deck of $52$ cards, the number of possible outcomes is $52$

Let $A$ be the event ' the card drawn is a diamond ' Clearly the number of elements in set $A$ is $13 .$

Therefore, $P ( A )=\frac{13}{52}=\frac{1}{4}$

i.e. probability of a diamond card $=\frac{1}{4}$

Standard 11

Mathematics

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