On a single toss of a fair coin, the probability of heads is .5 and the probability of tails is 0.5. If you toss a coin twice and get heads on the first toss, are you guaranteed to get tails on the second toss? Explain.

Tom is playing a board game.   He has rolled a six nine times in a row.   What's the probability that his 10th roll will not be a six?

When a card is selected from a deck, find the probability of getting A club? A face card or a heart? A 6 and a spade? A king? A red card?

Calculate the Probability. Probability of rolling a sum of 2 or 4 when given two dice.

Political scientists want to determine the probability of exactly 3 out of the next 5 voters they meet approving a proposal. If the sample probability of the voters approving the proposal is 50%, the number of trials is and the number of successful trials is The probability that 3 out of the next 5 voters approving the proposal is

You have the following items in a box. 4 black balls, 5 blue balls, 5 red balls, and 4 green balls What is the probability of choosing a blue ball?

please solve elaborately for better understanding thank you

You are going to play two games.  The probability you win the first game is 0.60.  If you win the first game, the probability you will win the second game is 0.75.  If lose the first game, the probability you win the second game is 0.55.  What is the probability you win exactly one game?

Rodney is going to shoot a total of 9 free-throws to prove he is a better shooter than Chris. During warm-ups Rodney can make 57% of practice shots. The challenge results are as follows… • 9 hits Rodney wins $100 • 6-8 hits Rodney wins $25 • 4-5 No one wins • 0-3 hits Chris wins $15 What is the probability that Rodney makes 7 shot?

You play two games against the same opponent. The probability you win thefirst game is 0.4. If you win the first game, the probability you also win the second is 0.2.If you lose the first game, the probability that you win the second is 0.3. A tie is not anoption.a. Are the two games independent? Explain.b. What’s the probability you lose both games?c. What’s the probability you win both games?d. Let random variable X be the number of games you win. Find the probabilitymodel for X.