Our hope is not the hope-so hope of the ungodly who "hope" for this and that randomly.

Hope is a vision from God of who you are in Christ, what you are to do right now as a member of Christ the Body, what God is going to do, what is and is not Christ the Body, and how you fit into Christ the Body.  When God speaks, He speaks a vision of hope.  Faith comes by hearing His voice, and faith gives access into God's grace, which does the works of God through us.  These works of God that He does through us are what transfigure our minds to be like His mind.  To allow Him to do His work through us is righteousness, and righteousness leads to a change, or transfiguration, of our minds, which is sanctification or holiness.  With holiness (a mind that is the mind of Christ) comes redemption, that is, freedom from the slavery to the fleshly desires, to the influence of the culture, and to Satan himself.  Hope is part of this process.  James compares it to looking into a mirror and he calls this process of righteousness the perfect law of liberty.  In 1 Corinthians 13, Paul tells us that we see as in a mirror, and in 2 Corinthians 3, Paul tells us that as we look into this mirror with the veil of the flesh taken away,  we see the glory of the Lord, that is, the Christ in us and the Christ in our brothers and sisters, and so we are transfigured into the same image by degrees from glory to glory by the Spirit of the Lord.

(some caveats about hearing God's Voice)

The following Strong's numbers have been translated as Hope:

08615 08431 07664 04723 04268 04009 03689 03176 02976 02620 0986 0983 1680 1679

As you can see, some of them are closer to faith than hope. 

New Testament

1680 elpis el-pece’
from a primary elpo (to anticipate, usually with pleasure); TDNT-2:517,229; {See TDNT 237} n f
AV-hope 53, faith 1; 54
1) expectation of evil, fear
2) expectation of good, hope
2a) in the Christian sense
2a1) joyful and confident expectation of eternal salvation
3) on hope, in hope, having hope
3a) the author of hope, or he who is its foundation
3b) the thing hoped for

1679 elpizo el-pid’-zo
from 1680; TDNT-2:517,229; {See TDNT 237} v
AV-trust 18, hope 10, hope for 2, things hoped for 1, vr hope 1; 32
1) to hope
1a) in a religious sense, to wait for salvation with joy and full confidence
2) hopefully to trust in

Old Testament

08615 tiqvah tik-vaw’
from 06960; n f; {See TWOT on 1994 @@ "1994d"} {See TWOT on 1994 @@ "1994e"}
AV-hope 23, expectation 7, line 2, the thing that I long for 1, expected 1; 34
1) cord
2) hope, expectation
2a) hope
2b) ground of hope
2c) things hoped for, outcome

04723 miqveh mik-veh’ or miqveh (#1Ki 10:28) mik-vay’ or miqve’ (#2Ch 1:16) mik-vay’
from 06960;;{ See TWOT on 1994 @@ "1994c"} {See TWOT on 1995 @@ "1995a"}
AV-linen yarn 4, hope 4, gathering together 1, pool 1, plenty 1, abiding 1; 12
n m
1) hope
1a) hope
1b) ground of hope
1c) things hoped for, outcome
2) collection, collected mass
n pr m
3) (CLBL) Kue, a place in Cilicia from which Solomon imported horses

03176 yachal yaw-chal’
a primitive root; v; {See TWOT on 859}
AV-hope 22, wait 12, tarry 3, trust 2, variant 2, stayed 1; 42
1) to wait, hope, expect
1a) (Niphal) to wait
1b) (Piel)
1b1) to wait, await, tarry
1b2) to wait for, hope for
1c) (Hiphil) to wait, tarry, wait for, hope for

08431 towcheleth to-kheh’- leth
from 03176; n f; {See TWOT on 859 @@ "859b"}
AV-hope 6; 6
1) hope

03689 kecel keh’- sel
from 03688; n m; {See TWOT on 1011 @@ "1011a"}
AV-flank 6, hope 3, folly 2, loins 1, confidence 1; 13
1) loins, flank
2) stupidity, folly
3) confidence, hope

0983 betach beh’takh
from 0982;;{ See TWOT on 233 @@ "233a"}
AV-safely 17, safety 9, carelessly 3, careless 2, safe 2, securely 2, assurance 1, boldly 1, care 1, confidence 1, hope 1, secure 1, surely 1; 42
n m
1) security, safety
adv
2) securely

07664 seber say’- ber
from 07663; n m; {See TWOT on 2232 @@ "2232a"}
AV-hope 2; 2
1) hope

02620 chacah khaw-saw’
a primitive root; v; {See TWOT on 700}
AV-to trust 35, to make a refuge 1, have hope 1; 37
1) (Qal) to seek refuge, flee for protection
1a) to put trust in (God), confide or hope in (God) (fig.)

04009 mibtach mib-tawkh’
from 0982; n m; {See TWOT on 233 @@ "233e"}
AV-confidence 9, trust 4, sure 1, hope 1; 15
1) trust, confidence, refuge
1a) act of confiding
1b) object of confidence
1c) state of confidence, security

02976 ya’ash yaw-ash’
a primitive root; v; {See TWOT on 833}
AV-no hope 3, despair 2, desperate 1; 6
1) to despair
1a) (Niphal) to be despaired, be desperate
1b) (Piel) to cause to despair
interj
2) it is hopeless!

0986 bittachown bit-taw-khone’
from 0982; n m; {See TWOT on 233 @@ "233c"}
AV-confidence 2, hope 1; 3
1) trust, confidence, hope

04268 machaceh makh-as-eh’ or machceh makh-seh’
from 02620; n m; {See TWOT on 700 @@ "700b"}
AV-refuge 15, shelter 2, hope 2, trust 1; 20
1) refuge, shelter
1a) from rain or storm, from danger
1b) of falsehood