Face cards Color Suit Ace Two Three Four Five Six Seven Eight Nine Ten Jack Queen King Red Hearts AV 2 3 4 5V 6V 7 9v 10v JV KV Red Diamonds A 2+ 3+ 4+ 5+ 6+ 7+ 8+ 9+ 10+ Je Black Spades Ae 2 3+ 4+ 50 64 7+ 8e 94 104 Je Black Clubs A 24 34 4 54 64 94 104 Ja A five-card hand is dealt at random from a standard deck. (A five-card hand is any set of five different cards, chosen without replacer What is the probability that the hand contains exactly one red card? Round your answer to the nearest hundredth.
Compound Probability
Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent.
Tree diagram
Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described.
Conditional Probability
By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.
 alt="Probability of five-card hands
Here is a table showing all 52 cards in a standard deck.
Face cards
Color
Suit Ace Two Three Four Five Six Seven Eight Nine Ten Jack Queen King
Red
Hearts AV 2
3
5V 6V
7
9v 10v J
KV
Red Diamonds A 2+
3+
4+
5+ 6+
7+
9+ 10+ J+
Q+
K
Black
Spades A
24
34
44 5e 6e
94 104 JA
Ke
Black
Clubs A 24
34
44 54 64
84
94 104 JA
A five-card hand is dealt at random from a standard deck. (A five-card hand is any set of five different cards, chosen without replacement.)
What is the probability that the hand contains exactly one red card?
Round your answer to the nearest hundredth.
Check
Privecy
Explanation
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