לפי התחזית, בבוקר יהיה ערפל כבד, ואחר כך אולי ירד שלג.

A natural pronunciation is:

Lefi ha-takhzit, ba-boker yihyeh arafel kaved, ve-achar kakh ulai yered sheleg.

A few pronunciation notes:

• לפי = le-FI
• התחזית = ha-takh-ZIT
• בבוקר = ba-BO-ker
• יהיה = yih-YEH
• ערפל = a-ra-FEL
• כבד = ka-VED
• ואחר כך = ve-a-KHAR kakh
• אולי = u-LAI
• ירד = ye-RED
• שלג = SHE-leg

לפי התחזית means according to the forecast.

• לפי = according to
• התחזית = the forecast

So this phrase is a very common way to introduce weather information:

• לפי התחזית... = According to the forecast...

Because the sentence means the forecast, not just a forecast.

• תחזית = forecast
• התחזית = the forecast

Hebrew adds ה־ to make a noun definite, like English the.

So:

• לפי תחזית would sound incomplete or unnatural here
• לפי התחזית = according to the forecast

Because it is made from:

• ב־ = in
• הבוקר = the morning

When ב־ joins a word beginning with ה־, the form often becomes a doubled-looking letter:

• ב + הבוקר → בבוקר

So בבוקר means in the morning.

This same thing happens in other common words too:

• בבית = in the house
• בשוק = in the market
• בלילה = at night / in the night

Hebrew often uses יהיה in exactly this way to mean there will be or it will be.

• יהיה is the future form of להיות = to be
• יהיה ערפל כבד literally looks like will be heavy fog
• In natural English, we translate it as there will be heavy fog

So Hebrew does not need a separate word matching English there in this kind of sentence.

יהיה is the 3rd person masculine singular future form of להיות (to be).

Why masculine singular?

Because the noun that follows, ערפל (fog), is masculine singular.

So:

• ערפל = masculine singular
• יהיה = masculine singular future
• כבד = masculine singular adjective

Everything matches.

In Hebrew, adjectives usually come after the noun.

So:

• ערפל כבד = heavy fog
• literally: fog heavy

This is the normal Hebrew word order for noun + adjective.

Also, the adjective has to agree with the noun in gender and number:

• ערפל = masculine singular
• כבד = masculine singular

ואחר כך means and after that, and then, or afterwards.

Breakdown:

• ו־ = and
• אחר כך = after that / then

So:

• ואחר כך = and then

This is a very common connector in speech and writing.

A few similar expressions are:

• ואז = and then
• לאחר מכן = after that / afterwards (a bit more formal)

אולי means maybe or perhaps.

Here it modifies the second weather event:

• אולי ירד שלג = maybe snow will fall / maybe it will snow

It often appears before the verb or clause it affects.

Examples:

• אולי אבוא = Maybe I’ll come
• אולי מחר = Maybe tomorrow
• אולי ירד שלג = Maybe it will snow

Yes, literally it is based on the verb ירד = to go down / descend / fall.

For weather, Hebrew commonly uses ירד with precipitation:

• ירד גשם = it will rain / literally rain will fall
• ירד שלג = it will snow / literally snow will fall

This is one of the normal Hebrew ways to describe rain or snow.

So even though the literal structure is different from English, the natural translation is simply:

• אולי ירד שלג = maybe it will snow

ירד here is the 3rd person masculine singular future form of the verb לרדת (to descend / to fall / to go down).

It matches שלג:

• שלג = snow, masculine singular
• ירד = masculine singular future

So the grammar is:

• ירד שלג = snow will fall
• natural English: it will snow

Because שלג is the subject of the verb ירד.

Hebrew is not saying fall of snow or fall with snow. It is saying:

• שלג ירד / ירד שלג = snow will fall

So שלג stands on its own as a noun, with no extra preposition.

The same pattern works with rain:

• ירד גשם = rain will fall = it will rain

Hebrew allows this kind of verb-before-subject order quite naturally, especially in descriptions, narration, and weather sentences.

So:

• אולי ירד שלג
• literally: maybe will-fall snow

This is perfectly normal Hebrew.

You could think of it as focusing first on the event, then naming what falls. In English we usually do not copy that order literally, so we translate it more naturally as:

• maybe it will snow

It is mostly neutral standard Hebrew.

Nothing in it is especially slangy or especially literary. It sounds like normal written or spoken weather language.

Some parts feel very typical of forecasts:

• לפי התחזית = standard forecast-style opening
• יהיה ערפל כבד = standard weather wording
• אולי ירד שלג = standard way to describe possible snow

So this is a very useful sentence pattern for everyday Hebrew.