Final answer:
To find the probability of getting 3 or fewer golden rings, calculate the individual probabilities of getting 0, 1, 2, or 3 golden rings and sum them up.
Step-by-step explanation:
To find the probability of getting 3 or fewer golden rings in the five, we need to consider the probabilities of getting 0, 1, 2, or 3 golden rings.
The probability of getting 0 golden rings is (1-0.72)^5 = 0.012; the probability of getting 1 golden ring is 5*(0.72)*(1-0.72)^4 = 0.128; the probability of getting 2 golden rings is 10*(0.72)^2*(1-0.72)^3 = 0.302; and the probability of getting 3 golden rings is 10*(0.72)^3*(1-0.72)^2 = 0.363.
Then, the probability of getting 3 or fewer golden rings is 0.012 + 0.128 + 0.302 + 0.363 = 0.805.