Question

17. Selecting a Card- A card is selected at random from a standard deck. Find each probability.

A. Randomly selecting a diamond or seven

B. Randomly selecting a red suit or a queen

C. Randomly Selecting a three or face card

18. Rolling a Die- You roll a die. Find each probability.

A. Rolling a six or a number greater than four

B. Rolling a number less than five or an odd number

C. Rolling a three or an even number

Answer 1

Ans:

17)

a)

P(a diamond or a seven)=P(diamond)+P(seven)-P(diamond and seven)

=(13/52)+(4/52)-(1/52)

=16/52=4/13

b)

P(red or a queen)=P(red)+P(queen)-P(red and queen)

=(26/52)+(4/52)-(2/52)

=28/52=7/13

c)

P(a three or a face card)=P(three)+P(face card)-P(three and face card)

=(4/52)+(12/52)-0

=16/52=4/13

18)

a)

P(a six or >4)=P(six)+P(>4)-P(6 and >4)

=(1/6)+(2/6)-(1/6)

=1/3

b)

P(less than 5 or an odd number)

=P(<5)+P(odd number)-P(<5 and odd number)

=(4/6)+(3/6)-(2/6)

=5/6

c)

P(three or even number)

=P(three)+P(even number)-P(three and even number)

=(1/6)+(3/6)-0

=4/6

=2/3