Question

A card is drawn from a deck of 52 cards the event E is that card is not an ace of heart,when one card is drawn from the deck.Find the no. Of outcomes favourable to E.

Answer 1

There are a total of four aces in a deck of cards of each type i.e spades, clubs, hearts and diamonds. Thus, the probability that the card 'is' an ace of heart is 1/52.
Thus P(not E)= 1/52
Total probability= 1
Therefore, P(E) = 1-1/52= 51/52

Answer 2

Answer:

The correct answer is $\frac{10}{13}$

Step-by-step explanation:

Given: A card is drawn from a deck of 52 cards the event E is that card is not an ace of heart when one card is drawn from the deck.

To find: no. Of outcomes favorable to E.

Calculation:

A card is drawn from a deck of cards.

So, we have to find, Number of outcomes favorable to the event 'card is not a face card'.

There are four aces in a deck of cards of each type: spades, clubs, hearts, and diamonds.

Total number of face cards = 12

Total number of cards= 52,

As we know the formula,

$Probability = \frac{no. of favourable outcomes}{total number of Outcomes}$

$\frac{52-12}{52}$ = $\frac{40}{52}$ = $\frac{10}{13}$

Therefore, the Required probability = $\frac{10}{13}$

So, No. of Outcomes Favourable to E= $\frac{10}{13}$

• Probability is a measure of how likely an event is to occur. Many events are impossible to forecast with absolute accuracy. We can only anticipate the possibility of an event occurring, i.e. how probable they are to occur, using it.

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