You are adult one card from a deck of 52 cards find the probability that you are dealt an 8 or a black card
To find the probability of being dealt an 8 or a black card, we need to determine the number of favorable outcomes (cards that are either an 8 or black) and divide it by the number of total outcomes (all possible cards).
1. Number of favorable outcomes:
There are 4 cards that are 8 (8 of spades, 8 of hearts, 8 of diamonds, 8 of clubs) and 26 black cards (13 spades and 13 clubs). Therefore, there are 4 + 26 = 30 favorable outcomes.
2. Number of total outcomes:
There are 52 total cards in a deck.
3. Probability:
The probability (P) of being dealt an 8 or a black card can be calculated using the formula:
P = Number of favorable outcomes / Number of total outcomes
P = 30 / 52
P ≈ 0.5769
Therefore, the probability of being dealt an 8 or a black card is approximately 0.5769 or 57.69%.