If there is 60% chance of rain on Monday and 70% chance on Tuesday, what is the probability that it will rain on either day, assuming the events are independent?
Probabilistic events independent of each other.[math]\mathbb{P}(RainMonday)=(\frac{6}{10})=(\frac{3}{5}).[/math][math]\mathbb{P}(RainTuesday)=(\frac{70}{100})=(\frac{7}{10}).[/math]Using Complementation law;[math]\mathbb{P}(not[/math][math]RainMonday)=1-(\frac{6}{10})=(\frac{4}{10}).[/math][math]\mathbb{P}(notRainTuesday)=1-(\frac{7}{10})=(\frac{3}{10}).[/math]Therefore;[math]\mathbb{P}(RainMonday[/math] [math]or[/math] [math]RainTuesday)=1-\mathbb{P}(notRainMonday)\mathbb{P}(notRainTuesday)=1-(\frac{4}{10})(\frac{3}{10})=0.88[/math]Concept Required;Probability Basics Theorem.