Question

as shown above a classic deck of card is made up of 52 cards suppose one card is selected at random and calculate the following probability

Answer 1

Given a classic deck of cards made up of 52 cards

Made up of 13 spades, hearts, diamonds and clubs each,

The formula of Probabaility is given below as,

Where the Possible outcome = 52

The probability that a 6 of diamonds is selected is,

`\begin{gathered} \text{required outcome = 1} \\ \text{Probability of a 6 of diamonds=}(1)/(52) \end{gathered}`

Probability that a 6 of diamonds is selected is 1/52

The probability that a heart or a diamond is selected,

`\begin{gathered} Probabilty\text{ of a heart P}(H)\text{=}(13)/(52) \\ \text{Probability of a diamond=}(13)/(52) \\ \text{Probability of a heart or a diamond=}(13)/(52)+(13)/(52)=(1)/(4)+(1)/(4)=(1)/(2) \end{gathered}`

Probability that a heart or a diamond is selected is 1/2

Probability that a number smaller than 4 (counting the ace as 1) is selected is,

`\begin{gathered} \text{Probability of picking a ace=}(4)/(52) \\ \text{Probability of picking a 2=}(4)/(52) \\ \text{Probability of picking a 3=}(4)/(52) \\ \text{Probability of picking a number smaller than 4=}(4)/(52)+(4)/(52)+(4)/(52)=(3)/(13) \end{gathered}`

Probability that a number smaller than 4 (counting the ace as 1) is selected is 3/13