Simon has the opportunity to invest in two securities$.$ Security A with $30\%$ chance of earning a $20\%$ return and $70\%$ chance of earning a $10\%$ return. Security B has $40\%$ chance of earning $8\%$ return, $25\%$ chance of earning $15\%$ return and $35\%$ chance of earning $10\%$ return. Which of the two securities will provide a higher expected rate of return.