For the experiment of drawing a single card from a standard 52-card deck, find (a) the probability, and (b) the odds in favor, that you do not draw a seven.
(a) The probability is
(Type an integer or a simplified fraction.)
Answer
Final Answer: The probability of not drawing a seven from a standard 52-card deck is \(\boxed{\frac{48}{52}}\) or approximately \(\boxed{0.923}\).
Step 1 ：The total number of cards in a standard deck is 52.
Step 2 ：There are 4 sevens in a deck (one for each suit: hearts, diamonds, clubs, spades).
Step 3 ：Therefore, the number of outcomes where a seven is not drawn is 52 - 4 = 48.
Step 4 ：The total number of possible outcomes is 52.
Step 5 ：The probability of an event is calculated as the number of favorable outcomes divided by the total number of outcomes.
Step 6 ：Therefore, the probability of not drawing a seven is \(\frac{48}{52}\).
Step 7 ：Final Answer: The probability of not drawing a seven from a standard 52-card deck is \(\boxed{\frac{48}{52}}\) or approximately \(\boxed{0.923}\).
