A report into conditions at HMP Hewell in Redditch by the Chief Inspector of Prisons found that its performance had deteriorated sharply since the last inspection.
According to the report, thirty five per cent of prisoners on the closed side and 42% on the open side said it was easy to get drugs in the prison.
And 17% on the closed side and 36% on the open side said it was easy to get alcohol.
The inspectors said the figures were much higher than they see in comparable prisons.
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A woman who inflicted more than 200 injuries on her 18-month-old foster daughter has been given a life sentence for her murder.