Only 25 balls were possible at the Ageas Bowl where Hampshire quickly rattled up 42 without loss in a match eventually abandoned due to heavy showers.
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Spectators huddled under cover for much of the afternoon as groundsman Nigel Gray and his assistants attempted to mop up the pools of water which formed around the wicket and in the outfield after a succession of morning downpours.
Eventually, after five and a quarter hours of waiting, umpires Mark Benson and Nick Cook decided play was possible, beginning at 7.15pm in gathering gloom and with more showers threatening.
Worcestershire won the toss and their captain Daryl Mitchell decided to field first despite the damp conditions, mindful of his side's fantastic run-chase against Lancashire last week when they hunted down a target of more than 300.
Hampshire openers Michael Carberry and Sean Terry were in mood to play themselves in and Carberry smashed Jack Shantry's fourth ball of the innings over the midwicket boundary for six and followed it with a one-bounce four. Shantry conceded eleven from his solitary over.
New Zealander Mitchell McClenaghan also conceded eleven and in the third over from Charles Morris, Carberry plundered another six into the stands over midwicket.
Morris conceded 14 from his over and it was only when spinner Shaaiq Choudhry came on that the run-rate temporarily slowed, only five coming off it.
But menacing clouds circled the arena and after Joe Leach had bowled a single delivery, the players were obliged to race for the sanctuary of the pavilion at the end of 15 minutes play. At that stage the big-hitting Carberry was 30 not out and Terry was unbeaten with ten.
Benson and Cook looked again when the shower abated 20 minutes later but quickly ruled that there was no chance of resuming.
Each side picked up a point from the soggy debacle and neither will benefit greatly. Hampshire have now won only the once in six of their eight matches and Worcestershire have triumphed twice, but both need to win their remaining two matches to stand a chance of finishing in Group A's top four and with it a place in the quarter-finals.
Hampshire coach Dale Benkenstein said: 'It was disappointing when the rain came as it did. We had got ourselves into a good position.
"A point keeps us in with a glimmer of hope but we must beat Essex away on Wednesday to stand any chance.
"When it comes to these crunch games, the Hampshire side seems to stick together and produce its best cricket, an unusual attribute .
"The disappointment today is that Carberry was batting well and Terry was looking good."