Question

A coin is weighted so that it is twice as likely to fall heads as it...

A coin is weighted so that it is twice as likely to fall heads as it is tails. If you toss the coin four times, what is the probability of getting four heads is a row?

0 0
Add a comment Improve this question Transcribed image text
Answer #1

Let p shows the probability of getting a tail so the probability of getting a head is 2p. Since sum of probabilty must be equal to 1 so

p + 2p = 1

p = 1/3

Therefore the probability of getting a head is 2/ 3

Since each toss is independent from other so the probability of getting four heads is a row, using multiplication rule,  is

Add a comment
Know the answer?
Add Answer to:
A coin is weighted so that it is twice as likely to fall heads as it...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • a coin is weighted deliberately so that the probability of tossing heads is twice the probability...

    a coin is weighted deliberately so that the probability of tossing heads is twice the probability of tossing tails. what is the probability of tossing three heads in a row? what is the probability of tossing three tails in a row? what is the relative probability of tossing three heads versus three tails?

  • A coin is weighted so that there is a 62% chance that it will come up...

    A coin is weighted so that there is a 62% chance that it will come up "heads" when flipped. The coin is flipped four times. Find the probability of getting two "heads" and two "tails". Round your answer to four decimal places.

  • Tom has three coins. Two are fair and one is unfair coin weighted so that heads...

    Tom has three coins. Two are fair and one is unfair coin weighted so that heads is three times as likely as tails. He selects one of the coins at random and flips it. What is the probability it comes up heads? If it does come up heads, what is the probability it was the unfair coin?

  • Suppose we toss a weighted coin, for which the probability of getting a head (H) is...

    Suppose we toss a weighted coin, for which the probability of getting a head (H) is 60% i) If we toss this coin 3 times, then the probability of getting exactly two heads (to two decimal places) is Number ii) If we toss this coin 6 times, then the probability of getting exactly four heads (to two decimal places) is Number CI iii) if we toss this coin 8 times, then the probability of getting 6 or more heads (to...

  • You and a friend are talking about the probability of getting a heads on a single...

    You and a friend are talking about the probability of getting a heads on a single toss of a fair coin. Your friend insists that you are more likely to get a heads on a single toss of a fair coin than a tails. Is your friend correct, why or why not? If we were to toss the fair coin an infinite number of times, what would we expect?

  • A coin is weighted so that there is a 65% chance that it will come up...

    A coin is weighted so that there is a 65% chance that it will come up "heads" when flipped. The coin is flipped four times. Find the probability of at least one of the flips resulting in "tails". Round your answer to four decimal places.

  • On a single toss of a fair coin, the probability of heads is 0.5and the...

    On a single toss of a fair coin, the probability of heads is 0.5 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.Explain why – 0.41 cannot be the probability of some event.Explain why 1.21 cannot be the probability of some event.Explain why 120% cannot be the probability of some event.Can the number 0.56 be the probability of...

  • I toss an unfair coin 12 times. This coin is 65% likely to show up heads....

    I toss an unfair coin 12 times. This coin is 65% likely to show up heads. Since the binomial table only gives up to 50%, I will have to look at probability for tails. Which column will I be looking in (ie. .05, .30, .50...)?

  • You toss a fair coin four times in a row. What is the probability of getting...

    You toss a fair coin four times in a row. What is the probability of getting four tails?

  • A coin will be tossed twice, and each toss will be recorded as heads ( H...

    A coin will be tossed twice, and each toss will be recorded as heads ( H ) or tails ( T ). Give the sample space describing all possible outcomes. Then give all of the outcomes for the event that the first toss is heads. Use the format HT to mean that the first toss is heads and the second is tails. If there is more than one element in the set, separate them with commas. Samplespace: Eventthatthefirsttossisheads:

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT