What is the probability that the card drawn is red or a king?
A probability is a number that expresses the chance or likelihood of an event occurring. Probabilities can be stated as proportions ranging from 0 to 1, as well as percentages ranging from 0% to 100%, where 0 indicates an impossible event and 1 indicates a certain event. The sum of the probabilities of all the events in a sample space adds up to 1. Show
There are numerous applications of probability in real life. It is widely used in weather forecasting, typing on smart devices, flipping a coin or dice, sports, traffic signals, video games, and board games in taking medical decisions. Formula for computing probability
Terms related to probabilityRandom Experiment: The action of achieving a set of possible outcomes without any prior conscious decision is called as a Random experiment. The prediction of a certain outcome of a random event is known as probability. Random trials include, for example, tossing a coin, drawing a card from a deck, and rolling a dice. Outcome: An outcome is the result of any random experiment. Suppose if we roll a dice and we get a five. So, rolling a die is a random experiment that yielded the result “five”. Sample space: It’s a collection of all plausible outcomes from a random experiment. For example, we can get one of the following numbers while rolling a die: 1, 2, 3, 4, 5, 6. As a result, the sample space consists of 1, 2, 3, 4, 5, and 6. This means that if a die is tossed, there are six sample spaces or probable outcomes. Event: It is the result of a single experiment. Getting a Heads when tossing a coin is an example of an event. Types of events:
Equally likely events Equally likely events occur when two or more events have the same theoretical likelihood of occurring. If all of the outcomes of a sample space have the same probability of occurring, they are said to be equally likely. If we throw a dice, for example, the probability of obtaining 1 is 1/6. Similarly, receiving all of the numbers from 2,3,4,5, and 6 one by one has a probability of 1/6. Some other instances of equally likely outcomes when rolling a die are as follows:
What is the probability of getting either a red card or King card?We know that a well-shuffled deck has 52 cards Total number of suits = 4 Total number of red suits = 2 Since each suite has 13 cards, therefore, the total number of red cards = 2 × 13 = 26 Therefore probability of getting a red card= Total number of kings in a deck = 4 If we pick one card at random from the 52 cards, the probability of getting a king= i.e. Probability of getting a king = Therefore, probability of getting a red card or a king, P(E) = probability of getting a red card+ probability of getting a king But out of these four kings, two kings are of the red suite and two are of the black suite. This means the probability of getting a red king has been included twice, and hence it should be subtracted. Hence, probability of getting a red card or a king, P(E) = probability of getting a red card+ probability of getting a king-probability of getting a red king card= Similar QuestionsQuestion 1. Find the probability of getting a black queen or a diamond Answer:
Question 2. Find the probability of getting either a black or a jack or an ace card Answer:
Question 3. Find the probability of getting an ace or a king Answer:
Question 4. Find the probability of getting red face cards Answer:
What is the probability of getting a red card or a king?∴ P(getting a red card or a king) =P(E2)=n(E2)n(S)=2852=713.
What is the probability of getting a red king out of 52 cards?Hence, the probability of getting a king of red colour is 1 26 .
What is the probability of drawing a red face card or a king from a standard deck of 52 cards?There are 52 cards in a deck out of which half are red cards. In a deck of cards, there are 6 red-faced cards. So, the probability of drawing a red-faced card is 6 out of 52 cards. Thus, the probability of drawing a red face card from a deck of cards is 6/52 = 3/26.
What is the probability of drawing a king or a?Hence for drawing a card from a deck, each outcome has probability 1/52. 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.
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