The Bible does not teach that anyone will have a second chance. Those who are called now to the knowledge of the truth and who have repented and received the Holy Spirit (those of the house of God, the Church) are now being judged (Hebrews 6:4-6 Hebrews 6:4-6  For it is impossible for those who were once enlightened, and have tasted of the heavenly gift, and were made partakers of the Holy Ghost,
 And have tasted the good word of God, and the powers of the world to come,
 If they shall fall away, to renew them again to repentance; seeing they crucify to themselves the Son of God afresh, and put him to an open shame.
American King James Version×; 10:26-27; 1 Peter 4:17 1 Peter 4:17For the time is come that judgment must begin at the house of God: and if it first begin at us, what shall the end be of them that obey not the gospel of God?
American King James Version×). Those elect (chosen by God) who endure and remain faithful (Matthew 24:13 Matthew 24:13But he that shall endure to the end, the same shall be saved.
American King James Version×, 22; Revelation 17:14 Revelation 17:14These shall make war with the Lamb, and the Lamb shall overcome them: for he is Lord of lords, and King of kings: and they that are with him are called, and chosen, and faithful.
American King James Version×) are promised to be raised in the "first resurrection" (Revelation 20:4-6 Revelation 20:4-6  And I saw thrones, and they sat on them, and judgment was given to them: and I saw the souls of them that were beheaded for the witness of Jesus, and for the word of God, and which had not worshipped the beast, neither his image, neither had received his mark on their foreheads, or in their hands; and they lived and reigned with Christ a thousand years.  But the rest of the dead lived not again until the thousand years were finished. This is the first resurrection.  Blessed and holy is he that has part in the first resurrection: on such the second death has no power, but they shall be priests of God and of Christ, and shall reign with him a thousand years.
American King James Version×), a resurrection to immortality at Christ's return (1 Thessalonians 4:14-17 1 Thessalonians 4:14-17  For if we believe that Jesus died and rose again, even so them also which sleep in Jesus will God bring with him.  For this we say to you by the word of the Lord, that we which are alive and remain to the coming of the Lord shall not prevent them which are asleep.  For the Lord himself shall descend from heaven with a shout, with the voice of the archangel, and with the trump of God: and the dead in Christ shall rise first:  Then we which are alive and remain shall be caught up together with them in the clouds, to meet the Lord in the air: and so shall we ever be with the Lord.
American King James Version×; 1 Corinthians 15:50-52 1 Corinthians 15:50-52  Now this I say, brothers, that flesh and blood cannot inherit the kingdom of God; neither does corruption inherit incorruption.  Behold, I show you a mystery; We shall not all sleep, but we shall all be changed,  In a moment, in the twinkling of an eye, at the last trump: for the trumpet shall sound, and the dead shall be raised incorruptible, and we shall be changed.
American King James Version×). This is called a "better resurrection" (Hebrews 11:35 Hebrews 11:35Women received their dead raised to life again: and others were tortured, not accepting deliverance; that they might obtain a better resurrection:
American King James Version×).
But what about all those who died and never were called to salvation (John 6:44 John 6:44No man can come to me, except the Father which has sent me draw him: and I will raise him up at the last day.
American King James Version×)? Billions through history have never heard the name of Jesus Christ (Acts 4:12 Acts 4:12Neither is there salvation in any other: for there is none other name under heaven given among men, whereby we must be saved.
American King James Version×), much less made any commitment to Him.
By saying there is a first resurrection, there must also be a second. "But the rest of the dead did not live again until the thousand years were finished" (Revelation 20:5 Revelation 20:5But the rest of the dead lived not again until the thousand years were finished. This is the first resurrection.
American King James Version×). This resurrection is further described in verse 12: "And I saw the dead, small and great, standing before God, and books were opened. And another book was opened, which is the Book of Life. And the dead were judged according to their works, by the things which were written in the books."
Judgment in the Bible is a process, not just a sentencing. These will have a first chance to really understand the books—the Bible—and a first chance to choose and faithfully follow God's way and to be written in the Book of Life. This is a resurrection to physical life, with an offer of the Holy Spirit (Ezekiel 37:1-14 Ezekiel 37:1-14  The hand of the LORD was on me, and carried me out in the spirit of the LORD, and set me down in the middle of the valley which was full of bones,
 And caused me to pass by them round about: and, behold, there were very many in the open valley; and, see, they were very dry.
 And he said to me, Son of man, can these bones live? And I answered, O Lord GOD, you know.
 Again he said to me, Prophesy on these bones, and say to them, O you dry bones, hear the word of the LORD.
 Thus said the Lord GOD to these bones; Behold, I will cause breath to enter into you, and you shall live:
 And I will lay sinews on you, and will bring up flesh on you, and cover you with skin, and put breath in you, and you shall live; and you shall know that I am the LORD.
 So I prophesied as I was commanded: and as I prophesied, there was a noise, and behold a shaking, and the bones came together, bone to his bone.
 And when I beheld, see, the sinews and the flesh came up on them, and the skin covered them above: but there was no breath in them.
 Then said he to me, Prophesy to the wind, prophesy, son of man, and say to the wind, Thus said the Lord GOD; Come from the four winds, O breath, and breathe on these slain, that they may live.
 So I prophesied as he commanded me, and the breath came into them, and they lived, and stood up on their feet, an exceeding great army.
 Then he said to me, Son of man, these bones are the whole house of Israel: behold, they say, Our bones are dried, and our hope is lost: we are cut off for our parts.
 Therefore prophesy and say to them, Thus said the Lord GOD; Behold, O my people, I will open your graves, and cause you to come up out of your graves, and bring you into the land of Israel.
 And you shall know that I am the LORD, when I have opened your graves, O my people, and brought you up out of your graves,
 And shall put my spirit in you, and you shall live, and I shall place you in your own land: then shall you know that I the LORD have spoken it, and performed it, said the LORD.
American King James Version×) and a chance for repentance even for Sodom and Gomorrah and Nineveh (Matthew 11:20-24 Matthew 11:20-24  Then began he to upbraid the cities wherein most of his mighty works were done, because they repented not:  Woe to you, Chorazin! woe to you, Bethsaida! for if the mighty works, which were done in you, had been done in Tyre and Sidon, they would have repented long ago in sackcloth and ashes.  But I say to you, It shall be more tolerable for Tyre and Sidon at the day of judgment, than for you.  And you, Capernaum, which are exalted to heaven, shall be brought down to hell: for if the mighty works, which have been done in you, had been done in Sodom, it would have remained until this day.  But I say to you, That it shall be more tolerable for the land of Sodom in the day of judgment, than for you.
American King James Version×; 12:41-42). Truly God is not willing for any to perish, but that all should come to repentance and salvation (2 Peter 3:9 2 Peter 3:9The Lord is not slack concerning his promise, as some men count slackness; but is long-suffering to us-ward, not willing that any should perish, but that all should come to repentance.
American King James Version×; 1 Timothy 2:4 1 Timothy 2:4Who will have all men to be saved, and to come to the knowledge of the truth.
American King James Version×).
For More Information: Fundamental Beliefs, chapter "The Resurrections"; What Happens After Death?; Heaven & Hell; God's Holy Day Plan, chapter "The Last Great Day"; The Resurrections doctrinal paper (www.ucg.org/papers/).