A game involves selecting a card from a regular 52-card deck and tossing a coin. The coin is a fair coin and is equally likely to land on heads or tails. If the card is a face card, and the coin lands on Heads, you win $6 If the card is a face card, and the coin lands on Tails, you win $2 If the card is not a face card, you lose $2, no matter what the coin shows. Construct a PDF by filling in the blanks.  Round each value to four decimal places                                      x                               P(x)                                      6                                \                                      2                                                                      -2

Six friends play poker, each starting with $5. All bets are in multiples of $0.10. How many ways are possible for the redistribution of the $30 after the night of poker?

Please answer the questions carefully to get the correct answers.

Draw a conclusion

A random sample of BYU-Idaho students was surveyed and asked if they were in favor of retaining the penny as a form of currency in the United States. Out of the 116 women surveyed, 80 said that they were in favor of retaining the penny as a form of currency. Of the 137 men surveyed, 91 said that they were in favor of retaining the penny. Difference = Women - Men The picture below is the question. Use the information above to help.

Roads A, B, and C are the only way to escape from a certain provincial prison. Prison records show that, of the prisoners who tried to escape, 17% used road A, 13 % used road B, the remainder used road C. The records also indicate that 72 % of those who tried to escape using road A were captured. 62 % of those using road B were captured, and 21% of those using road C were captured. Use four decimals in your answers. (a) What is the probability that a prisoner escaping from this provincial prison is not captured? 0.65 (b) What is the probability that a captured prisoner used road A in their escape attempt? (c) What is the probability that a prisoner who didn't get captured has used road C?

A game involves drawing a single card from a standard deck. The player receives $10 for an ace, $5 for a king, and $1 for a red card that is neither an ace nor a king. Otherwise, the player receives nothing. If the cost of each draw is $2, should you play? Explain your answer mathematically.

Experimental or Observational: A group of students is interested in knowing if the number of times they can sink a basketball is related to the color of the basketball. The students shoot a series of baskets and record their success using a regulation colored basketball.  They then switch to a blue colored basketball and shoot the same series of baskets.  .