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Home Question Bank Math Probability Archive 2024 December 08

Probability Questions from Dec 08,2024

Browse the Probability Q&A Archive for Dec 08,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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ability Basic Concepts Two fair coins are tossed (say a dime and a quarter). The two possible outcomes for a single coin are heads, h, and tails, t Give each of the following. (a) the sample space (b) the probability of heads on the dime (c) the probability of heads on the quarter (d) the probability of getting both heads (e) the probability of getting the same outcome on both coins (a) The sample space is \( \{ \) ?. (Use a comma to separate answers as needed.) A certain game involves tossing 3 fair coins, and it pays 21, for 3 heads, \( 8 \ell \) for 2 heads, and \( 5 \& \) for 1 head. Is \( 8 \& \) a fair price to pay to play this game? That is, does the \( 8 \& \) cost to play make the game fair? The \( 8 \& \) cost to play (Type an integer or 'y your answer.) (a) The probability that the spinner shown would land on red is \( \frac{1}{3} \). (Type an integer or a simplified fraction.) (b) The probability that the spinner shown would land on yellow is \( \frac{1}{3} \). (Type an integer or a simplified fraction.) (c) The probability that the spinner shown would land on blue is (Type an integer or a simplified fraction.) (a) The probability that the spinner shown would land on red is \( \frac{1}{3} \). (Type an integer or a simplified fraction.) (b) The probability that the spinner shown would land on yellow is (Type an integer or a simplified fraction.) A certain game involves tossing 3 fair coins, and it pays \( 21 \notin \) for 3 heads, \( 8 \notin \) for 2 heads, and \( 5 \notin \) for 1 head. Is \( 8 \notin \) a fair price to pay to play this game? That is, does the \( 8 \notin \) cost to play make the game fair? The \( 8 \notin \) cost to play \( \square \) a fair price to pay because the expected winnings are (Type an integer or a fraction. Simplify your answer.) Rework problem 11 from section 4.1 of your text involving the flipping of a weighted coin. Assume that the coin is weighted so that a tead is 8 times as likely as a tail. The coin is flipped 6 times. What is the probability that both heads and tails occur? Rework problem 7 from section 4.1 of your text involving the computation of probabilities for a Bernoulli trial. Assume that \( \mathrm{n}=12 \), and \( \mathrm{p}=\frac{7}{9} \). Find the probability of at least 2 successes and at least 2 failures. Rework problem 1 from section 4.1 of your text involving the computation of probabilities for Bernoulli trials. Use the following values instead of those found in your book. (1) 1 success in 3 trials with \( p=0.6: 0.288 \) (2) 1 success in 3 trials with \( p=0.4: 0.432 \) (3) 3 successes in 5 trials with \( p=\frac{3}{7} \) : Question 7 State the probability of rolling a 2 . Answer: Question 8 State the probability of rolling a 2 or 3 Answer: Question 7 State the probability of rolling a 2 Answer:
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