An ordinary fair die is thrown repeatedly until a 5 is obtained. The number of throws taken is denoted by the random variable $$\(X\)$$. Find the probability that a 5 is first obtained in fewer than 10 throws. .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... ....................................................................................................................................................
Exam No：9709_s21_qp_52 Year：2021 Question No：1(c)
Answer:
\(1-\left(\frac{5}{6}\right)^{9}\)
\(0.806\)
Alternative method for Question
\(\frac{1}{6}+\frac{1}{6}\left(\frac{5}{6}\right)+\frac{1}{6}\left(\frac{5}{6}\right)^{2}+\cdots+\frac{1}{6}\left(\frac{5}{6}\right)^{8}\)
\(0.806\)
\(0.806\)
Alternative method for Question
\(\frac{1}{6}+\frac{1}{6}\left(\frac{5}{6}\right)+\frac{1}{6}\left(\frac{5}{6}\right)^{2}+\cdots+\frac{1}{6}\left(\frac{5}{6}\right)^{8}\)
\(0.806\)
Knowledge points:
5.4.2 use formulae for probabilities for the binomial and geometric distributions, and recognise practical situations where these distributions are suitable models (Including the notations B(n,p) and Geo(p). Geo(p) denotes the distribution in which for r = 1,2,3,...)
Solution:
Download APP for more features
1. Tons of answers.
2. Smarter Al tools enhance your learning journey.
IOS
Download
Download
Android
Download
Download
Google Play
Download
Download