one card is drawn at random from a well shuffled Deck of 52 cards find the probability of not getting diamond card
Answers
Answer:
Hence, the probability of not getting a diamond card is 43.
Step-by-step explanation:
Given :-
Plying cards in the deck of playing cards = 52
To find :-
One card is drawn at random from a well shuffled deck of 52 cards find the probability of not getting a diamond card ?
Solution :-
Given that
Number of playing cards in a deck of cards = 52
Total number of all possible outcomes = 52
Total number of diamond cards = 13
Remaining cards = 52-13 = 39
Number of favourable outcomes = 39
We know that
Probability of an event E is P(E) = Number of favourable outcomes/ Total number of all possible outcomes
=> Probability of getting not a diamond card
= 39/52
= 3/4
or
The probability of getting diamond card
= 13/52
= 1/4
Let the probability of not getting a diamond card
=> P( not E)
We know that
P(E)+P( not E) = 1
=> (1/4)+P( not E ) = 1
=> P(not E) = 1-(1/4)
=> P(not E) = (4-1)/4
=> P(not E) = 3/4
Answer:-
Probability of getting not a diamond card = 3/4
Used formulae:-
- Probability of an event E is P(E) = Number of favourable outcomes/ Total number of all possible outcomes
- P(E)+P( not E) = 1