A card is randomly selected from a standard 52-card deck. Find the probability that the card selected is either a queen or a 3?
Answers
Answer:
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Answer : 2/13
Given :-
A card is randomly selected from a standard 52-card deck.
To find :-
Find the probability that the card selected is either a queen or a 3?
Solution :-
Total number of playing cards in the deck of cards = 52
Total number of possible outcomes = 52
Number of queen cards = 4
number of favourable outcomes = 4
We know that
Probability of an event P(E)=
Number of favourable outcomes/Total number of possible outcomes
=> Probability of getting a queen card
=> P(Q)=4/52
=> P(Q)=1/13-------(1)
and
Number of cards of 3 = 4
Number of favourable outcomes to 3 = 4
We know that
Probability of an event P(E)=
Number of favourable outcomes/Total number of possible outcomes
=> Probability of getting 3 on a card
=> P(3) = 4/52
=> P(3) = 1/13------(2)
Now ,
Probability of getting either a queen or 3 card = P(Q)+P(3)
From (1)&(2)
=> (1/13)+(1/13)
=> (1+1)/13
=>2/13
Answer:-
Probability of getting either a queen or 3 card = 2/13
Used formulae:-
Probability of an event P(E)=
Number of favourable outcomes/Total number of possible outcomes