Tima draws a card from a well shuffled deck of 52 cards. What is the probability of getting a 10?
Answers
Answer:
Step-by-step explanation:
The correct option is D
1
26
Total number of possible outcomes= Total number of cards in the well-suffled deck=
52
In each of the four suits, their is a king. Threfore, total number of kings in the deck=
1
×
4
=
4
.
Now, for
P (king)
, number of favorable outcomes= number of kings in the deck=
4
.
∴
P (king)
=
Number of favorable outcomes
Total number of possible outcomes
⇒
P (king)
=
Number of kings in the deck
Total number of cards
⇒
P (king)
=
4
52
=
4
×
1
4
×
13
=
1
13
∴
The probability of drawing a king card from a deck of
52
cards is
1
13
.
-----------------------------------------------
There is only one
10
numbered card in each of the four suits. And, there are total
2
black suits (clubs and spades) in a deck of cards. Threfore,
10
numbered black cards in a deck of cards=
1
×
2
=
2
.
Now, for
P (black
10
)
, number of favorable outcomes= total number of black
10
cards=
2
∴
P (black
10
)
=
Number of favorable outcomes
Total number of possible outcomes
⇒
P (black
10
)
=
Total number of black 10 cards
Total number of cards
⇒
P (black
10
)
=
2
52
=
2
×
1
2
×
26
=
1
26
∴
The probability of drawing a black
10
card from a deck of
52
cards is
1
26
.