Question

One card is drawn from an ordinary deck of 52 cards. Find the probabilities of drawing the following cards.a. A 9 or 10b. A black card or a 2c. A 7 or a red 4d. A heart or a black carde. A face card or a heart

Answer 1

a. A 9 or 10

There are 8 chances of getting 9 or 10, so the probability is:

`(8)/(52)`

b. A black card or a 2

There are 26 black cards and 2 more 2s that are red, so the probability is:

`(28)/(52)`

c. A 7 or a red 4

There are 4 sevens and 2 red 4s, so the probability is:

`(6)/(52)`

d. A heart or a black card

There are 26 black cards and 13 hearts, so the probability is:

`(39)/(52)`

e. A face card or a heart

There are 13 hearts and another 9 non-hearth face cards, so the probability is:

`(22)/(52)`