Question

For this question, use the following situation. A card is dealt from a complete deck of fifty-two playing cards (no jokers).

a) Find the probability that the card is a 3 or a 5. Write your answer in two ways:

• As a reduced fraction: Answer
• As a percent (round to the nearest tenth of a percent): Answer%

b) Find the probability that the card is either a diamond or a heart.  
Write your answer in two ways:

• As a fraction: Answer
• As a percent (round to the nearest tenth of a percent): Answer%

c) Find the probability that the card is either the 3 of diamonds or the 5 of hearts. Hint: think about how many cards meet that description. Write your answer two ways:

• As a reduced fraction: Answer
• As a percent (round to the nearest tenth of a percent)

Answer 1

(A) P(3 or 5)

To get the probability of getting 3 or 5 is given by

  

Here we are adding because or is used in probability, there are four 3's and four 5's in a deck of card and there are 52 cards in deck of card so using this we get

  

Now (i)As a reduced fraction: 2/13

by

  (ii) As a percent (round to the nearest tenth of a percent):15.4%

by

(B)

P(diamond or heart)

To get the probability of getting diamond or heart , getting a heart and getting a diamond both are independent so here either in the question does not play any role so we will do it same as the above question

  

Here we are adding because or is used in probability, there are thirteen diamond's and thirteen heart's in a deck of card and there are 52 cards in deck of card so using this we get

  

Now (i)As a reduced fraction: 1/2

by

  (ii) As a percent (round to the nearest tenth of a percent):50.0%

by

(C)

There is only one 3 of diamonds and only one 5 of hearts in a deck and either here does not play any role so proceeding as previous question

P(3 of diamonds or 5 of hearts)

To get the probability of getting 3 of diamonds or 5 of hearts is given by

  

Here we are adding because or is used in probability, there are one 3 of diamonds and one 5 of heart in a deck of card and there are 52 cards in deck of card so using this we get

  

Now (i)As a reduced fraction: 1/26

by

  (ii) As a percent (round to the nearest tenth of a percent):3.8%

by