## Related questions with answers

Decide whether each of the following statements makes sense (or is clearly true) or does not make sense (or is clearly false). Explain your reasoning.

Because either there is life on Mars or there is not, the probability of life on Mars is $0.5$.

Solution

VerifiedThe probablity of an event ranges from $0$ to $1$. $\\$ The probability of an event happening and the probability of the same event not happening have a sum of $1$. $\\$ The probability that there is life on Mars may range from $0$ to $1$. If the probability that there is life on Mars is $0.2$, then the probability that there is no life on Mars is $0.8$. $\\$ Thus, the probability that there is life on Mars is not necessarily equl to $0.5$. $\\$ Therefore, the given statement does not make sense.

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