Thinking Skills: Critical Thinking and Problem Solving

336 Answers to assignments

148 Blue

137 Blue

126 Blue

115 Blue

116 Black

126 Black

136 Black

116 Blue

115 Black

* 148 ××× 137 126 115

* 148 ××× 137 126 115

127 Blue

116 Blue

115 Black

125 Black

117 Blue

114 Black

* 148 ××× 136 127 115

* 148 ××× 136 125 117

146 Black

138 Blue

127 Blue

116 Blue

115 Black

125 Black

135 Black

117 Blue

114 Black

* 146 ××× 138 127 115

* 146 ××× 138 125 117

128 Blue

117 Blue

114 Black

124 Black

118 Blue

113 Black

* 146 ××× 135 128 117

* 146 ××× 135 124 113

Sock 1

Probable

colour

Sock 2

Probable

colour

Sock 3

Probable

colour

Sock 4

Probable

colour

probability of getting it right the first

time ()^137 to the probability of getting

it wrong the first time multiplied by the

probability of getting it right the second

time (^3637 ×^136 ), and to the probability

of getting it wrong the first two times

multiplied by the probability of getting

it right the third time (^3637 ×^3536 ×^135 ).

The total chance in three attempts is

(^137) + ( (^3637) × (^136) ) + ( (^3637) × (^3536) × (^135) ) = (^337)
or 8.1%.
3 Let us suppose that the probability of
hitting the nearer pole is^12 and the
probability of hitting the farther pole
is^13. (If the question can be answered,
it clearly does not matter what the exact
probabilities are or we would have been
given them.)
If we throw near, far, near, the
probabilities of throwing two in a row
are as follows:
Hit, hit, miss:^12 ×^13 ×^12 =^112
Miss, hit, hit:^12 ×^13 ×^12 =^112
Hit, hit, hit:^12 ×^13 ×^12 =^112
The total probability of winning is^312
or 25%.
Chapter 6.3 Question 1