From the table, the probability of a man surviving to age 30 is 0.97372.

The probability that a new-born male dies between age 30 and 31 equals the probability that the newborn lives until age 30 (0.97372) and dies in the 30th year (0.001419).

Thus, the probability of a new-born male dying between his 30th and 31st birthday is:

$0.97372 \times 0.001419 = 0.00138$

This is calculated using the conditional probability formula where we need to find the probability that a newborn reaches age 30 (survival probability) and then dies between age 30 and 31 (probability of death within one year at age 30).