4. A sports club has 80 members. For the three activities Swimming (S), Cycling (C) and Running (R), 8 members take part in all three activities, 3 members do not take part in any of the three activities, 22 members take part in only Swimming, 23 members take part in Swimming and Cycling, 19 members take part in Swimming and Running, 14 members take part in Cycling and Running. a) Using this information place the number of members in the appropriate subsets of the Venn diagram. 3 The number of members who take part in only Cycling is twice the number of members who take part in only Running. Let the number of members who take part in only Running be r and, using all the given information, b) form an equation in x. c) Solve your equation to find the value of x. 2 Manuel is in the set (R U C)' s. d) Write down which of the three activities Manuel takes part in. c) Write down i) n(C), ii) n[S N(R U C)J. A member of the sports club is to be chosen at random. Given that this member takes part in Cycling, O find the probability that this member also takes part in both Swimming and Running.
4. A sports club has 80 members. For the three activities Swimming (S), Cycling (C) and Running (R), 8 members take part in all three activities, 3 members do not take part in any of the three activities, 22 members take part in only Swimming, 23 members take part in Swimming and Cycling, 19 members take part in Swimming and Running, 14 members take part in Cycling and Running. a) Using this information place the number of members in the appropriate subsets of the Venn diagram. 3 The number of members who take part in only Cycling is twice the number of members who take part in only Running. Let the number of members who take part in only Running be r and, using all the given information, b) form an equation in x. c) Solve your equation to find the value of x. 2 Manuel is in the set (R U C)' s. d) Write down which of the three activities Manuel takes part in. c) Write down i) n(C), ii) n[S N(R U C)J. A member of the sports club is to be chosen at random. Given that this member takes part in Cycling, O find the probability that this member also takes part in both Swimming and Running.
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.1: Counting
Problem 84E
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Transcribed Image Text:4. A sports club has 80 members.
For the three activities Swimming (S),
Cycling (C) and Running (R),
8 members take part in all three activities,
3 members do not take part in any of the
three activities,
22 members take part in only Swimming,
23 members take part in Swimming and
Сycling,
19 members take part in Swimming and
Running,
14 members take part in Cycling and
Running.
a) Using this information place the number
of members in the appropriate subsets of
the Venn diagram.
22
3
The number of members who take part in only Cycling is twice the number of members who take part
in only Running. Let the number of members who take part in only Running be r and, using all the
given information,
b) form an equation in x.
c) Solve your equation to find the value of x.
2
Manuel is in the set (R U C)' s.
d) Write down which of the three activities Manuel takes
part in.
c) Write down
i) n(C),
ii) n[S N(R U C)J.
A member of the sports club is to be chosen at random. Given that this member takes part in Cycling,
O find the probability that this member also takes part in both Swimming and Running.
Transcribed Image Text:2. A coin is biased so that the probability of throwing a tail is . The coin is to be tossed three
times.
Calculate the probability of
a) throwing two heads followed by one tail,
b) throwing two tails and one head in
any
order.
3
C.
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