Final answer:
The probability of selecting either the Seven of Spades or the Ten of Hearts from a standard deck of cards is 1/26, since each card has an individual probability of 1/52 and the events are mutually exclusive. Option B is correct.
Step-by-step explanation:
The student is asking for the probability of selecting either the Seven of Spades or the Ten of Hearts from a standard 52-card deck. The probability of selecting one specific card from a deck is 1/52. Since the selection of the Seven of Spades and the Ten of Hearts are two mutually exclusive events (you cannot draw both cards at the same time with one draw), you can add their probabilities together. Therefore, the probability of drawing either the Seven of Spades or the Ten of Hearts is 1/52 + 1/52 = 1/26. So, the correct answer is b. 1/26.
To find the probability of selecting the Seven of Spades or the Ten of Hearts, we first need to determine the number of favorable outcomes and the total number of outcomes. The deck has 52 cards, so the total number of outcomes is 52. There is only 1 Seven of Spades and 1 Ten of Hearts in the deck, so the number of favorable outcomes is 2. Therefore, the probability of selecting the Seven of Spades or the Ten of Hearts is 2/52, which simplifies to 1/26.