To find the probability of selecting a six or a five from a standard 52-card deck, first, let's determine how many cards are sixes or fives.
In a standard deck, there are 4 suits (hearts, diamonds, clubs, and spades). Each suit has one six and one five.
So, there are
4
×
2
=
8
4×2=8 cards that are either sixes or fives.
The total number of cards in a standard deck is 52.
Probability = (Number of favorable outcomes) / (Total number of possible outcomes)
Probability = 8 (number of sixes or fives) / 52 (total number of cards)
Probability =
8
52
52
8
Simplifying the fraction, you get:
Probability =
2
13
13
2
So, the probability of randomly selecting a six or a five from a standard 52-card deck is
2
13
13
2
or approximately
0.154
0.154, which is approximately 15.4%.