Question

A card is drawn from a deck of 52 cards. The event E is that card is not an ace of hearts. The number of outcomes favourable to E is

Answer 1

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A pack of 52 cards

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The Number of outcomes favourable to E.

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According to the formula of probability,P(E),

$\frac{number \: of \: favourable \: outcomes}{total \: number \: of \: possible \: outcomes}$

In a pack of 52 cards 1 card is an ace of heart.

So the number of favourable outcomes P(E) is 51.

ACCORDING TO THE FORMULA,

$p(e) = \frac{51}{52}$

$so \: the \: number \: of \: \\ favourable \: outcomes \: to \: </strong><strong>E</strong><strong>\: is \: \frac{51}{52}$

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In a pack or deck of 52 playing cards, they are divided into 4 suits of 13 cards each i.e. spades ♠ hearts ♥, diamonds ♦, clubs ♣. Cards of Spades and clubs are black cards. Cards of hearts and diamonds are red cards. The card in each suit, are ace, king, queen, jack or knaves, 10, 9, 8, 7, 6, 5, 4, 3 and 2.

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