Final answer:
The probability of drawing a pair of tens with replacement from a standard deck of cards is 1/169, which is calculated by (4/52) × (4/52). The options provided do not include the correct answer.
Step-by-step explanation:
To determine the probability of getting a pair of tens with replacement from a standard shuffled deck of cards, we need to consider that each draw is an independent event because the card is replaced after each draw. There are 4 tens in a deck of 52 cards. The probability of drawing a ten on the first draw is therefore 4 out of 52, or ⅔. Since we replace the card after the draw, the probability remains the same for the second draw.
The probability of getting a ten on both the first and second draw would be the product of the two independent probabilities:
⅔ (chance of first ten) × ⅔ (chance of second ten) = 1/169.
None of the provided options (a) 1/221, (b) 1/2210, (c) 1/110, and (d) 1/55 are correct. Therefore, the correct probability of drawing a pair of tens with replacement is actually 1/169, which is not listed among the provided options.