Prove that sin^2x+sinx cosx\tanx
1 answer:
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Given:
A card is selected randomly from a standard deck of 52 cards.
To find:
The probability of each outcome.
a. a king of heart
b. a queen of spades
c. an ace of flower
d. an ace of diamond
Solution:
In a standard deck of 52 cards.
Total number of cards = 52
13 cards of each suit (heart, diamond, club, spade).
13 cards are Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King.
a. We need to find the probability of getting a king of heart.
Number of king of heart = 1
b. We need to find the probability of getting a queen of spades.
Number of queen of spades = 1
c. We need to find the probability of getting an ace of flower (spades).
Number of ace of flower = 1
d. We need to find the probability of getting an ace of diamond.
Number of ace of diamond = 1
Therefore, the required probabilities for each parts are:
(a)
(b)
(c)
(d)