问题1.列出您在这些实验中可以看到的结果。
(a)旋转车轮(b)一起扔两个硬币
解决方案：
(a) Since, there are four letters A, B, C and D in a spinning wheel therefore there are 4 possible outcomes.
(b) When two coins are tossed together, there are four possible outcomes HH, TT, HT and TH.
问题2：当掷出骰子时，列出获取事件的结果
(i)(a)一个质数(b)不是质数。
(ii)(a)大于5的数字(b)不大于5的数字
解决方案：
(i) (a) Outcomes of event of getting a event with prime number are 2, 3 and 5.
(b) Outcomes of event of not getting a event with prime number are 1, 4 and 6.
(ii) (a) Outcomes of event of getting a event with number greater than 5 is 6.
(b) Outcomes of event of not getting a event with number greater than 5 are 1, 2, 3, 4 and 5.
问题3.找到
(a)指针在(问题1-(a))中停在D上的概率是多少?
(b)是否有可能从一张52张纸牌充分洗净的牌堆中获得一张王牌?
(c)得到一个红苹果的可能性。 (见下图)
解决方案：
(a) In a spinning wheel, there are five pointers A, A, B, C and D.
Since there are five outcomes from which the Pointer stops at D. So D is the outcome.
Therefore, the probability of the pointer stop on D =1/5
(b) There are 4 aces in a deck of 52 playing cards(one from each suit i.e. diamond, club , heart and spade).
Since, there are four events of getting an ace. Therefore, probability of getting an ace = 4/52 = 1/13
(c) Total number of apples are 7, out of which number of red and green are 4 and 3 respectively.
Probability of getting a red apple = 4/7
问题4：数字1到10分别写在十个单据上(一个数字在一张单据上)，装在一个盒子里并混合均匀。从包装盒中选择一张纸条，而无需检查它。的几率是多少
(i)得到一个数字6?
(ii)得到的数字小于6?
(iii)得出大于6的数字?
(iv)取得一个1位数的号码?
解决方案：
Given, there are 10 separate slips in the box.
(i) Number 6 is written only on 1 slip.
Therefore, probability of getting a number 6 is = 1/10
(ii) Numbers less than 6 are 1, 2, 3, 4 and 5 which are 5. Since there are 5 outcomes.
Therefore, probability of getting a number less 6 is = 5/10 = 1/2
(iii) Number greater than 6 out of 10 are 7, 8, 9, 10. Since there are 4 possible outcomes.
Therefore, probability of getting a number greater than 6 is = 4/10 = 2/5
(iv) Since one-digit numbers are 1, 2, 3, 4, 5, 6, 7, 8, 9 out of 10.
Therefore, probability of getting a 1-digit number is = 9/10
问题5.如果您的纺车带有3个绿色扇区，1个蓝色扇区和1个红色扇区，那么获得绿色扇区的概率是多少?获得非蓝色部门的可能性是多少?
解决方案：
A total of 5 sectors are present(3 green + 1 blue + 1 red).
Out of the 5 sectors, 3 sectors are green Therefore, the probability of getting a green sector = 3/5
Out of the 5 sectors, 1 sector is blue. Therefore, Non-blue sectors=5 – 1 = 4 sectors
Therefore, probability of getting a non-blue sector is = 4/5
问题6。找到问题2中给出的事件的概率。
解决方案：
When a die is thrown, there are total six possible outcomes, i.e., 1, 2, 3, 4, 5 and 6.
(i) (a) 2, 3 and 5 are the prime numbers. So there are 3 outcomes out of 6.
Therefore, probability of getting a prime number is = 3/6 =1/2
(b) 1, 4 and 6 are not the prime numbers. So there are 3 outcomes out of 6.
Therefore probability of getting a prime number is = 3/6 = 1/2
(ii) (c) Only 6 is greater than 5.
Since there is 1 outcome out of 6 possible outcomes.
Therefore, probability of getting a number greater than 5 is = 1/6
(d) Number which are not greater than 5 are 1, 2, 3, 4 and 5. Since there are 5 outcomes out of 6.
Therefore, probability of not getting a number greater than 5 is = 5/6