Question

A fair pair of dice is rolled 36 times. Find the probability that the same point...

A fair pair of dice is rolled

36

times. Find the probability that the same point comes up on both dice at least

11

times

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

P(a getting a same point onboth dice) = 6/36 = 1/6

n = 36

mean = n * p = 36 * 1/6 = 6

sd = sqrt(n * p * (1 - p))

      = sqrt(36 * 1/6 * 5/6)

      = 2.236

P(X > 11)

= P((X - mean)/sd > (11 - mean)/sd)

= P(Z > (11 - 6)/2.236)

= P(Z > 2.24)

= 1 - P(Z < 2.24)

= 1 - 0.9875

= 0.0125

Add a comment
Know the answer?
Add Answer to:
A fair pair of dice is rolled 36 times. Find the probability that the same point...
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
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
ADVERTISEMENT