A card is selected from a pack of 52 cards. Calculate probability that card is an ace

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14.Probability

easy

A card is selected from a pack of $52$ cards. Calculate the probability that the card is an ace

$\frac{1}{13}$

Solution

Let $E$ be the event in which the card drawn is an ace.

since there are $4$ ace in a pack of $52$ cards, $n(E)=4$

$\therefore P(E)=\frac{\text { Number of outcomes favourable to } E}{\text { Total mumber of possible outcomes }}=\frac{n(E)}{n(S)}=\frac{4}{52}=\frac{1}{13}$

Standard 11

Mathematics

Describe the sample space for the indicated experiment : A die is thrown two times.

easy

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$A:$ getting an even number on the first die.

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Describe the events $B$ or $C$

medium

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An experiment consists of tossing a coin and then throwing it second time if a head occurs. If a tail occurs on the first toss, then a die is rolled once. Find the sample space.

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normal

A card is selected from a pack of $52$ cards. Calculate the probability that the card is an ace

Solution

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Two dice are thrown. The events $A, B$ and $C$ are as follows:

$A:$ getting an even number on the first die.

$B:$ getting an odd number on the first die.

$C:$ getting the sum of the numbers on the dice $\leq 5$

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