Question

A SINGLE CARD IS DRAWN AT RANDOM FROM A STANDARD DECK OF 52 CARDS. FIND THE PROBABILITY OF DRAWING THE FOLLOWING CARDS. PLEASE REDUCE TO LOWEST TERMS.
A) A DIAMOND OR A 5 __________
B) A HEART AND A JACK __________
C) A JACK OR AN 8 __________
D) A HEART OR A SPADE __________
E) A RED AND FACE CARD __________
F) A RED CARD OR A QUEEN __________

Answer 1

Answer:

A. $\frac{17}{52}$

B. $\frac{17}{52}$

C. $\frac{2}{13}$

Step-by-step explanation:

A.

There are 52/4 diamonds in the deck and 4 '5's in the dech of cards

52/4 = 13 + 4 = 17

Therefore, you have a  $\frac{17}{52}$ chance of drawing one of those cards.

B.

There are 13 hearts in the deck and 4 jacks. Therefore, your odds are the same : $\frac{17}{52}$

C.

There are 4 jacks in a deck of cards and 4 '8's in a deck of cards

Therefore your probability is $\frac{8}{52}$ which simplifies to $=\frac{2}{13}$

As per brainly guidelines I can only answer 3 questions in one answer

Answer 2

A) 13/52 + 4/52 - 1/52 = 16/52 = 4/13
B) 1/52
C) 4/52 + 4/52 = 8/52 = 2/13
D) 13/52 + 13/52 = 26/52 = 1/2
E) 6/52 = 3/26
F) 26/52 + 4/52 - 1/52 = 29/52