Implied odds on OESD

[aqn]

the odds of hitting the straight on the turn..

8/47
.170
1 in 5.88

Chance of hitting on the river if you didn.t hit on the turn

39/47 * 8/46
.144
1 in 6.94

Odds of hitting your straight

1 - ( 39/47 * 38/46 )
1 - ( 0.8298 * 0.8261)
1 . 0.6855
0.3145

then

Hos is this possible? If you don't hit on the turn, your chances of hitting your desired card on the river should be HIGHER, right? Because there is one less card that can't help you still in the deck.

You're both correct.

1/6.94 is the probability of both events happening:
not hitting on the turn and hitting on the river.

If for some reasons you don't care about the turn, and regard hitting the
OESD on the river as an independent event, then yes, the probability of
hitting is 8/46, which is higher than that on the the turn (8/47).