Respuesta :
The probability that the card is greater than 2 but less than 9 is 6 / 13.
Probability is the branch of discrete mathematics. It is used for calculating how likely an event is to occur or happen.
P ( E ) = Number of favourable outcomes / Total number of outcomes → 1
In an ordinary deck of cards,
- Total number of cards = 52
- Number of suites = 4 ( Hearts, Clubs, Diamonds and spades )
- Each suite has 13 cards = Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack,
Queen, King
- Number of black suites = 13( Clubs ) + 13( Spades ) = 26
- Number of red suites = 13( Hearts ) + 13( Diamonds ) = 26
As per the question,
A card is drawn from an ordinary deck and that is red.
⇒ Total number of red cards in an ordinary deck = 26 cards
∴ Total number of outcomes = 26
The card that is greater than 2 but less than 9,
⇒ Number of cards that are greater than 2 but less than 9 in red suite = 12
∴ Number of favourable outcomes = 12
Substitute the values in 1,
P ( E ) = Number of favourable outcomes / Total number of outcomes
= 12 /26
P ( E ) = 6 / 13
Therefore, 6 / 13 is the probability that the card is drawn in a red suite greater than 2 but less than 9.
To know more about Probability refer to:
https://brainly.com/question/25870256
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The complete question is
A card is drawn from an ordinary deck and we are told that it is red. What is the probability that the card is greater than 2 but less than 9?
