Question

Keno and Angelita will randomly select from a treat bag containing 6 lollipops and 4 gum balls. -Keno will select a treat, replace it, and then select a second treat. -Angelita will select a treat, not replace it, and then select a second treat. Who has the greater probability of select 1 lollipop and then 1 gumball?​

Answer 1

Keno

$|\Omega|=10^2=100\\|A|=6\cdot4=24\\\\P(A)=\dfrac{24}{100}=\dfrac{6}{25}=24\%$

Angelita

$|\Omega|=10\cdot9=90\\|A|=6\cdot4=24\\\\P(A)=\dfrac{24}{90}=\dfrac{4}{15}\approx26,7\%$

Therefore, the answer is Angelita.