Find an ordinary pack of 52 cards, a card is drawn. Find the probability of getting: (a) a red card (b)a black card (c) an ace (d)a spade
Answers
Answer:
Probability of getting a red card is- 50%
Probability of getting a black card is- 50%
Probability of getting an ace is- 7.69%
And, Probability of getting a spade is- 25%
Step-by-step explanation:
There are 4 types of card namely:-
1)Club♣️
2) Diamond♦️
3) Heart♥️
4)Spade♠️
Now,there are 52 cards in total which consists of 13 cards of each types .i.e., 13 cards of diamond.
It can be seen that there are 2 types of red cards, Diamond and Heart and 2 types of black cards,Club and Spade.
(a) Therefore; Probability of getting a red card(in percentage)= (no. of diamonds♦️+ no. of hearts♥️/total no. of cards)×100
=(13+13/52)×100
=50%
(b) Also, Probability of getting a black card=(no. of clubs♣️+ no. of spades♠️/total no. of cards)×100
=(13+13/52)×100
=50%
It is known that there are 4 ace cards of each of the 4 types mentioned above,
(c) Therefore; Probability of getting an ace=(no. of ace card/total no. of cards)/100
=(4/52)×100
=7.69% appx
(d) Simmilarly, Probability of getting a spade= (no. of spades♠️/total no. of cards)×100
=(13/52)×100
=25%
HOPE IT HELPS