What is the probability of drawing a spade from a deck of cards given that the card was black?

What is the probability of drawing a spade from a deck of cards given that the card was black?

By the law of total probability the answer should be 1/2 (12/51) + 1/2 (13/51). Given that the second card is a spade, there are 51 possibilities for the first card, of which 25 are black.

What is the probability of drawing a spade or heart?

If you’re wanting to draw a heart and a spade, then you could get the heart first, or the spade first. The probability of doing this with replacement is 2(1/4)(1/4)=1/8. Doing it without replacement is 2(1/4)(13/51)=13/102.

What is the probability of drawing a spade from a standard deck of cards on a second draw given that a spade was drawn on the first draw and not replaced?

0.2549
The card is not replaced, so 51 cards remain in the deck. For the second draw, the probability of a spade is 13/51 = 0.2549.

What is the probability of getting an ace or a spade?

The probability of drawing an ace of spades or an ace of clubs is 1/52 + 1/52, or 1/26. the restriction is that the combined events must be mutually exclusive, that is they both cannot occur at the same time. The multiplicative rule applies to “both-and” cases.

Which card is a spade?

form one of the four suits of playing cards in the standard French deck. It is a black heart turned upside down with a stalk at its base and symbolises the pike or halberd, two medieval weapons.

How many spades do we have?

13 spades
Yes, a deck of 52 playing cards has 13 spades. Each suit contains 13 cards, including Ace (highest), two, three, four… till ten, and there are three face cards Jack, Queen and King, in each suit.

What is spade in probability?

A set or collection of outcomes is called an event. These concepts can be illustrated with a deck of cards. The probability of an event is the sum of the probabilities of the outcomes in the event, hence the probability of drawing a spade is 13/52 = 1/4, and the probability of drawing a king is 4/52 = 1/13.

What is the probability of picking a card that is a queen or a spade?

If we consider P(B) (the probability the card is a Queen), in a standard deck of 52 cards there are exactly 4 cards which are Queens (in suits of Hearts, Spades, Clubs, and Diamonds). Thus, P(B)=452=113 .

What is the probability of drawing a spade or a jack from a standard deck of 52 cards?

There are 4 jacks in the deck and 13 spades. However 1 jack is a spade so we have a total of 16 cards which are either a jack or a spade. Therefore there are 52−16=36 cards which are not a jack or a spade. Thus the probability is 36/52.

What is the probability of drawing a spade or an ace?

In a standard 52 card deck, there are 13 spades and 4 aces, however one of these aces is a spade, so we need to avoid counting one ace to ensure no double-counting. So, there are 13 + 3 = 16 ways to draw an ace or a spade. Therefore, the probability is 16/52, which reduces down to 4/13. Hiring CS majors for internships and entry-level roles.

What is the probability that the second card is a spade?

The probability that the second card is a spade given the first card is a club is 13/51. By the law of total probability the answer should be 1/2 (12/51) + 1/2 (13/51).

How many spades are in a 52 card deck?

Keep your phone safe & protect your valuable investment. In a standard 52 card deck, there are 13 spades and 4 aces, however one of these aces is a spade, so we need to avoid counting one ace to ensure no double-counting. So, there are 13 + 3 = 16 ways to draw an ace or a spade.

Is it possible to draw a spade then a heart?

If you’re wanting to draw a heart and a spade, then you could get the heart first, or the spade first. The probability of doing this with replacement is 2 ( 1 / 4) ( 1 / 4) = 1 / 8. Doing it without replacement is 2 ( 1 / 4) ( 13 / 51) = 13 / 102. (The 2 out front considers heart then spade, and spade then heart.)