Question

The king, queen and jack of clubs are removed from a deck of 52 playing cards and the well shuffled. One card is selected from the remaining cards. Find the probability of getting a) a king b) a club .
Three unbiased coins are tossed together.​

Answer 1

To Find:-

The probability of getting

a) a king

b) a club

Given:-

King,Queen and Jack of clubs are removed.

Formulae Applied:-

$\Large\boxed{\bold{p(E) \: = \: \frac{Number \: of \: Outcomes}{Total \: Number \: of \: Outcomes}}}$

P = Probability

E = Event

Solution:-

Remaining cards = 52 - 3 = 49

Clubs = 10

Diamonds = 13

Spades = 13

Hearts = 13

a) A king

$</u></strong><strong><u>\</u></strong><strong><u>i</u></strong><strong><u>m</u></strong><strong><u>p</u></strong><strong><u>l</u></strong><strong><u>i</u></strong><strong><u>e</u></strong><strong><u>s</u></strong><strong><u>\large{\bold{p(</u></strong><strong><u>k</u></strong><strong><u>ing) \: = \: \frac{3}{49}}}$

b) A Club

$\implies\large{\bold{p(club) \: = \: \frac{10}{49}}}$

More to Know:-

• There are 4 kinds of symbols in cards.They are clubs(♣), diamonds (♦), hearts (♥) and spades (♠).Each of them comprises of 13 cards with a total of 52 cards in 1 set.

• A probability is a number that reflects the chance or likelihood that a particular event will occur.

• The probability of a possible event is 1 and the probability of an impossible event is 0.

• Probabilities can be expressed as proportions ranging from 0 to 1 and also be expressed as percentages ranging from 0% to 100%.