A bag contains 10 orange-flavoured, 14 strawberry-flavoured, and 16 cherry which are of identical shapes and sizes. Benny selects a sweet at random fro not cherry-flavoured he replaces it and selects another sweet at random. Her until he obtains a cherry-flavoured sweet. Calculate the probability that the first sweet selected is strawberry-flavoured and the fourth sweet i he selects an even number of sweets. (i) (ii)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.6: Permutations
Problem 31E
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↳
A bag contains 10 orange-flavoured, 14 strawberry-flavoured, and 16 cherry-flavoured sweets
which are of identical shapes and sizes. Benny selects a sweet at random from the bag. If it is
not cherry-flavoured he replaces it and selects another sweet at random. He repeats the process
until he obtains a cherry-flavoured sweet.
Calculate the probability that
the first sweet selected is strawberry-flavoured and the fourth sweet is orange-flavoured,
he selects an even number of sweets.
(i)
(ii)
Transcribed Image Text:↳ A bag contains 10 orange-flavoured, 14 strawberry-flavoured, and 16 cherry-flavoured sweets which are of identical shapes and sizes. Benny selects a sweet at random from the bag. If it is not cherry-flavoured he replaces it and selects another sweet at random. He repeats the process until he obtains a cherry-flavoured sweet. Calculate the probability that the first sweet selected is strawberry-flavoured and the fourth sweet is orange-flavoured, he selects an even number of sweets. (i) (ii)
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