Final answer:
Joe is most likely to get a combination of mostly pennies and possibly some dimes when he draws eight coins from a dish containing mostly pennies, some dimes, and a quarter, which aligns with option B, 'Only pennies', but could potentially also align with option A if the draw is representative and includes some dimes.
Step-by-step explanation:
The question involves determining the most likely combination of coins Joe could randomly draw from a change dish with mostly pennies, some dimes, and a quarter. Given that pennies are the most abundant in the dish, the most likely combination Joe is to get when he pulls out eight coins would be mostly pennies, possibly some dimes, and less likely a quarter, since there is only one.
Since the change dish is described to contain mostly pennies, option B 'Only pennies' is statistically the most probable outcome. However, if Joe's draw is representative, and there are some dimes in the mix, a combination of pennies and a smaller number of dimes would still be likely, which aligns with option A. Option D, 'Only a quarter,' is the least likely since there is only one quarter in the dish, and eight coins are to be removed.