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A prime die uses the first six prime numbers on its faces, one prime per face. When two prime dice are rolled randomly, there is a 1/36 probability that the product of the two numbers will be equal to 4. What is the probability that the product has a units digit of one

Respuesta :

Answer: [tex]\frac{5}{36}[/tex]

Step-by-step explanation:

Given

dice with Prime number is rolled

The number on the face of dice are 2,3,5,7,11 and 13

Probability of getting a product of 4 is [tex]\frac{1}{36}[/tex]

Now probability of getting product has a unit digit one is possible when outcome is

[tex](3,7),(7,3),(13,7),(7,13),(11,11)[/tex]

i.e. there are 5 favorable outcomes

So probability is [tex]\frac{5}{36}[/tex]

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