Final answer:
The correct probability of selecting a four and a jack in a five-card hand from a standard deck is 1/169, which does not match any of the provided options A to D.
Step-by-step explanation:
The student wants to know the probability of selecting a four and a jack from a standard deck of cards when dealt a hand of five cards. To find this, we need to use the product rule of probability, since we are dealing with two independent events: drawing a four and drawing a jack.
To determine the probability of drawing a four, we observe that there are 4 fours in a 52-card deck. Thus, the probability of drawing one is 4/52, which simplifies to 1/13. Similarly, there are 4 jacks in the deck, so the probability of drawing a jack is also 4/52 or 1/13. Since we are finding the probability of both drawing a four and a jack, we multiply the individual probabilities: (1/13) * (1/13) = 1/169.
However, this is not one of the options provided. The options given seem to have a misunderstanding as none of them represents the correct calculation of the probability of selecting a four and a jack in a five-card hand. Thus, none of the options A to D is correct.