Misreading conditional probability

I’ve just heard this statistic on a TV programme:

63% of 14 to 17-year-olds interviewed who’ve lost their virginity lost it under the legal age of consent [i.e. 16]

That’s actually it verbatim- I rewound and checked. Didn’t the programme-makers notice such a critical-thinking blooper?

I can tell you for free that 100% of people who 1) are under the legal age of consent and 2) have lost their virginity lost their virginity under the age of consent (in their current jurisdiction, assuming the consent law wasn’t changed between then and now). The statistic is pretty much useless. Worth saving for a critical thinking exercise.

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