26) If fair coin is tossed twice what is the probability that we get at least one head Solution.

English has 26 different letters. How many consecutive words have to be selected in a book to have at least 4 that start with the same letter? Words to select: Ex: 20

If you flip two coins, what are the possible outcomes for the combined events?

If you draw a card from a deck and do not replace it, what type of events does this represent when drawing a second card?

6. Rainy Days A weather forecast system predicts rain using three models: \( M_{1}, M_{2}, M_{3} \). - \( M_{1} \) is used \( 50 \% \) of the time, \( M_{2} 30 \% \), and \( M_{3} 20 \% \). - The probabilities of correctly predicting rain are \( 85 \%, 80 \% \), and \( 90 \% \) for \( M_{1}, M_{2} \), and \( M \) respectively. A random day is selected. - What is the probability that rain is correctly predicted?

A bag contains 10 red marbles, 10 white marbles, and 10 blue marbles. What is the minimum number of marbles that need to be picked to ensure that at least 6 marbles have the same color? Marbles to pick: Ex: 20