RANDOLPH — Jane and Robert Goodwin are living quietly here in retirement and caring for three pets, a rescue dog named Blue and two cats, Nickel and Penny.

They’ve taken in rescue animals for years, and maybe that’s why fate has rewarded them with a remarkable stroke of good fortune. First, Jane Goodwin, 70, won a $1 million Publishers Clearing House prize in August, and then Robert, 72, collected a $1 million prize from the state lottery Monday.

For Jane, there’s an easy explanation for their back-to-back windfalls.

“Because we’re such marvelous people,’’ she joked during an interview with her husband in the kitchen of the couple’s modest home, while Blue looked on quizzically.

She and Robert said they have no idea why they won two hefty prizes in a matter of months, and they have no strategy for playing the lottery.

“Just get lucky,’’ Robert said.

Long before their cash prizes, the couple was lucky in love.

They met when they were both working at Boston Edison and married in 1969. On Tuesday, they didn’t hesitate when asked whether they could recall their first date: a trip to Nantasket Beach in Hull.

And their love of the ocean continues. The Goodwins have made several trips to Hawaii, and, after spreading out some of their winnings among their nieces and nephews, they plan to go back.

“Just sit on the beach,’’ Jane said when asked what she enjoys most about Hawaii.

Robert said he enjoys the concerts but only the authentic stylings of the island.

“None of that ‘Tiny Bubbles,’ ’’ he said, referring to the song long associated with touristy kitsch.

Jane found out she had won the Publishers Clearing House prize on a dock in Plymouth, where she had returned from a trip to Cape Cod with a friend.

She didn’t think for a moment that the company representatives were looking for her.

“I said to my girlfriend, ‘That’s Publishers Clearing House,’ ’’ she said. “I thought, ‘Somebody on this boat got lucky, but it’s not me.’ ’’

Then, she said, the reps shouted, “Jane! Jane!’’ and she realized she had won.

“They were wonderful,’’ she said.

Four months later, Robert bought a $1 million Platinum Payout scratch ticket at Fast Lane Convenience in Holbrook.

He scratched off the winning number at home and couldn’t believe his eyes.

“I said it’s gotta be fake,’’ he said. “This can’t be true.’’

But when the couple visited lottery headquarters in Braintree on Monday, their hot streak was confirmed.

Robert said Tuesday that they opted for a lump sum payout of $650,000, joking that it was because of their advanced age. It comes to less than $500,000 after taxes, the couple said.

Not that they’re complaining.

“It’s a lot more than you woke up with,’’ Robert said.

His wife speculated that they’ve now curried favor with the tax man, after two unexpected contributions.

“Uncle Sam’s very happy with us,’’ she said.

Travis Andersen can be reached at tandersen@globe.com. Follow him on Twitter @TAGlobe.