<p>Experimental probabilities</p><p>1 A six-sided die is rolled 20 times and the results are shown below: 6, 6, 1, 4, 3, 5, 1, 3, 6, 2, 5, 6, 2, 3, 1, 6, 1, 1, 4, 6 From these results, find the estimated probability of rolling:</p><p> a a 6 6/20 = 3/10 b a 4 c a 2 d an odd number e a number more than 4 </p><p>2 A spinner has sections marked in blue, red and green. The spinner is spun 30 times and the results are shown below:</p><p>G G R B B B R R G R G R G B R</p><p>B G G B B B G G R B G B R R R</p><p>From these results, find the estimated probability of spinning:</p><p> a green b red c blue d not blue e green or blue </p><p>3 A ten-sided die is rolled 30 times and the results are shown below:</p><p>3 3 2 1 8 1 5 4 10 1 9 7 3 3 10</p><p>8 4 3 10 10 1 2 7 10 4 1 10 2 4 2</p><p>From these results, find the estimated probability of rolling:</p><p> a a 5 b a 9 </p><p> c an even number d a number greater than 3 </p><p> e a prime number f a multiple of 3 </p><p>4 A coin is tossed and then a die is rolled. The outcomes of 20 trials are shown below: H2, H6, T3, H4, T4, H1, H1, H5, T5, T6, H3, T1, H3, T6, T5, T4, H4, T6, T5, T5 From these results, find the estimated probability of obtaining:</p><p> a a head and a 4 b a tail and a 1</p><p> c a tail and an even number d a head</p><p> e a 5 f a tail and a number greater than 3 5 A bag contains counters numbered 1, 2, 3, 4 and 5. A counter is removed and is not replaced, then a second counter is removed. The outcome expressed as (3, 2) represents selecting a 3 on the first draw and a 2 on the second draw. The results of 20 trials are shown below: (3, 2) (2, 4) (5, 1) (1, 3) (2, 5) (5, 3) (3, 2) (4, 5) (4, 3) (5, 4) (2, 3) (5, 2) (4, 3) (2, 1) (2, 4) (1, 4) (1, 3) (2, 1) (5, 2) (6, 3) From these results, find the estimated probability of obtaining:</p><p> a a 3 on the first draw</p><p> b a 4 on the second draw</p><p> c a first number that is greater than the second number drawn </p><p> d a first number that is the same as the second number drawn </p><p> e a first number that is less than the second number drawn </p><p> f an even number for both draws</p><p> g a first number that is odd and a second number that is even </p><p>6 Ballarat has an average of eight sunny days in July. Find the estimated probability that, in Ballarat in the month of July, it is not sunny. </p><p>7 In a Year 7 class, 17 out of 22 students have a mobile phone. Find the probability that a student in this class does not have a mobile phone. </p><p>8 A survey of 50 people at the local shopping centre found that 70% of people eat fruit at least once a day. Find:</p><p> a the number of the people questioned who eat fruit at least once each day </p><p> b the probability that a person questioned does not eat fruit once each day. </p><p>9 A survey is conducted to determine how students travelled to school. The results obtained are shown below.</p><p>Type of transport car bicycle walk bus train</p><p>Number of students 25 41 15 70 5</p><p>From the results, find the estimated probability that a student travelled to school by:</p><p> a bus b bicycle c car, bus or train Answers</p><p>1 1 1 2 3 10 10 2 5 10</p><p>1 1 2 2 2 a 3 3 3</p><p>1</p><p>1 1 8 8 2 1 30 30 15 15 5 5</p><p>1 29 9 0 0 </p><p>2 0</p><p>1 d 3 10 1 10 </p><p>5</p><p>23 31</p><p>5 22</p><p>8 a 35 </p><p> b 0.3</p><p>25 9 4 39 1 1 5 6</p>