Did you know?
Did you know that when picking 5 cards randomly from a standard deck of 52 cards, the probability of getting all cards that are either diamonds or display odd numbers can be calculated? To find this probability, we need to determine the total number of favorable outcomes and divide it by the total number of possible outcomes. First, let's identify all the options that meet our criteria. The deck contains 13 cards of each suit, and among those, there are 7 diamonds (2 odd-numbered and 5 even-numbered cards) that fulfill our requirements. Hence, we have 7 favorable outcomes. Next, we calculate the total number of possible outcomes by considering that each card pick gives us 52 choices for the first card, 51 for the second, 50 for the third, 49 for the fourth, and 48 for the last one. Thus, there are 52 x 51 x 50 x 49 x 48 possible outcomes. By dividing the number of favorable outcomes (7) by the total number of possible outcomes (52 x 51 x 50 x 49 x 48), we can determine the probability of randomly selecting 5 cards that are either diamonds or odd-numbered.
