Final answer:
The probability of drawing a queen or an ace from a standard 52-card deck is 1/7. The odds in favor of this event are 7/45.
Step-by-step explanation:
To find the probability of drawing a queen or an ace from a standard 52-card deck, we need to determine the number of favorable outcomes and the total number of possible outcomes.
In a standard deck, there are 4 queens and 4 aces. However, the queen of hearts is also an ace, so we need to subtract this double-counted card. Therefore, there are a total of 7 favorable outcomes (4 queens + 3 aces) out of 52 possible outcomes.
The probability is then calculated as the ratio of favorable outcomes to total outcomes:
P(queen or ace) = 7/52 = 1/7
To find the odds in favor of the event, we need to compare the number of favorable outcomes to the number of unfavorable outcomes. In this case, the unfavorable outcomes are the remaining 45 cards that are neither queens nor aces.
The odds in favor of the event are then expressed as a ratio of favorable outcomes to unfavorable outcomes:
Odds in favor of queen or ace = 7/45