Question

a card drawn at random from a will suffled pack of 52 cards . find the probability of 1. a red face card. 2. a black king​

Answer 1

Answer:

1- 6/52 =3/26

2-2/52=1/26

formula used above-

no. of possible outcomes /no. of total outcomes

Answer 2

Answer:

1.) Probability of getting a Red Face Card = 1/2

2.) Probability of getting a Black King = 1/26

Step-by-step explanation:

Firstly, let's see what all is present in a  deck of 52 cards:

• 26 red cards
• 26 black cards
• 13 spades (black) - suit 1
• 13 clubs (black) - suit 2
• 13 hearts (red) - suit 3
• 13 diamonds (red) - suit 4
• A king, queen, jack, ace, 9, 8, 7, 6, 5,4, 3, 2, and 1 in each suit
• Means that there are 2 black and 2 red kings, queens, jacks, aces, 9s, 8s, 7s, 6s, 5s, 4s, 3s, 2s, and 1s.
• There are 4 cards of each type (king, queen, etc.) one of them being a red heart, a red diamond, a black spade and a black club.

To find probability of:

1. A red face card

⇒ Total Number of Red Cards = 26 (Favourable Outcomes)

⇒ Total Number of Cards = 52   (Total Outcomes)

$Probability = \frac{Favourable.Outcomes}{Total.Outcomes}$

→ $Probability = \frac{26}{52} = \frac{1}{2}$

∴ Probability of getting a Red Face Card is 1/2

    2. A black king

⇒  Total Number of Black Kings = 2   (Favourable Outcomes)

⇒ Total Number of cards = 52 (Total Outcomes)

$Probability = \frac{Favourable.Outcomes}{Total.Outcomes}$

→ $Probability = \frac{2}{52} = \frac{1}{26}$

∴ Probability of getting a Black King is 1/52