Aleatory Distribution PHP/Laravel

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I want to use aleatory distribution in one of my works. For example, given that I have

    $amount = 100,000; 
    $recipients = 300; 
    $transactions = 400;

I need to use aleatory distribution on $recipients based on $transactions. It is like recipient_1 will receive 3 transactions, recipient_2 will receive 5 transactions, recipient_3 will receive 1 transaction, recipient_4 will receive 15 transactions...

until it reaches the total recipients and total transactions.

Randomize distribution but need to proportion the distribution based on the given transaction count.

Does anyone have experience with this logic?