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A portfolio manager is assessing whether the 1-year probability of default of a longevity bond issued by a life insurance company is uncorrelated with returns of the equity market. The portfolio manager creates the following probability matrix based on 1-year probabilities from the preliminary research:
| Market returns | 20% increase | 20% decrease |
|---|---|---|
| Longevity bond | No default | Default |
| 61% | 1% | |
| 35% | 3% |
Given the information in the table, what is the probability that the longevity bond defaults in 1 year given that the market decreases by 20% over 1 year?