Lindsey-randomly-selects-2-distinct-days-each-lveek-to-go-to-the-gym-Jess-randomly-selects-3-distinct-days-each-tveek-to-go-to-the-same-gym-What-is-the-probability-that-Lindsey-and-Jess-will

Question Number 184914 by Linton last updated on 13/Jan/23

$$ \\ $$
Lindsey randomly selects 2 distinct
days each lveek to go to the gym.
Jess randomly selects 3 distinct days
each tveek to go to the same gym.
What is the probability that Lindsey
and Jess will both be at the gym on
the same day at least once in any
given week? Express your anslver as
a common fraction.

Commented by mr W last updated on 04/Mar/23

$${p}=\frac{\mathrm{2}}{\mathrm{7}}×\frac{\mathrm{3}}{\mathrm{7}}=\frac{\mathrm{6}}{\mathrm{49}} \\ $$

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