Question

A card is drawn at random from a well shuffled deck of playing cards. find the probability that card is 1. a card of spade or an ace 2. a black king 3. neither jack nor king 4. either a king or queen in brainly. com .

Answer 1

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Answer 2

1) Probability of the card drawn is a card of spade or an Ace is $\frac{4}{13}$

2) Probability of the card drawn is a black king is $\frac{1}{26}$

3) Probability of the card drawn is neither jack nor king is $\frac{11}{13}$

4) Probability of the card drawn is either a king or queen is $\frac{2}{13}$

Solution:

There are 52 cards in total

Hence, total Outcomes = 52

The probability of an event is given as:

$\text {probability }=\frac{\text { number of favorable outcomes }}{\text { total number of outcomes }}$

1) Probability of the card drawn is a card of spade or an Ace:

There are 13 cards of spades including one ace and there are 3 more aces.

So, the number of favourable cases = 13 + 3 = 16

$\text {probability of getting a card of spade or ace }=\frac{16}{52}=\frac{4}{13}$

2) Probability of the card drawn is a black king

There are 2 black kings.

So, the number of favourable cases = 2

$\text {probability of getting a card of black king }=\frac{2}{52}=\frac{1}{26}$

3) Probability of the card drawn is neither jack nor king

There are 4 jacks and 4 kings

So, the number of cards which are neither jacks nor kings  = 52 - (4 + 4) = 44

$P\left(\text {getting a card which is neither a jack nor a king)}=\frac{44}{52}=\frac{11}{13}\right.$

4) Probability of the card drawn is either a king or queen

There are 4 kings and 4 queens.

So, the number of cards which are either kings or queens  = 4 + 4 = 8

$P\left(\text {getting a card which is either a king or a queen)}=\frac{8}{52}=\frac{2}{13}\right.$

Learn more about probability

A card drawn at random from a well shuffled pack of 52 playing cards find the probability of getting neither a red card nor a queen

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A single card is drawn from a standard 52-card deck.Find the conditional probability that

a)THe card is red,given that it is a face card

b)The card is a heart, given that it is an ace

c)The card is a face card,given that it is red

d)The card is black, given that it is a club

e)The card is a jack,given that it is red

f)The card is a club,given that it is black

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