find the probability of the following event, When
dig is toown at önce (a)A number 5 (b) A
number 7 (c)A numbex less than 5 (d) A
bumbes greater than 6 (e) A number less than 6
Answers
step-by-step explanation:
(a): There is only one way we can have 5 in total of six ways.
Probability of having 5 = 1/6
(b): In a fair dice, there is no possible way to have 7.
Probability of having 7 = 0/6 = 0
(c): In a fair dice, numbers less than 5 are 4,3,2, and 1.
Total numbers = 6
Required numbers = 4.
Probability = 4/6 = 2/3
(d): In a fair dice, there is no number greater than 6.
Probability = 0/6 = 0
(e): Numbers less than 6(in a dine) are 5,4,3,2 and 1.
Total numbers = 6
Required numbers = 5
Probability = 5/6
Required solution -
a) Find the probability of the following event. When dice is rolled down at once, there is only a way we can have 5.
As we already know that dice have 6 faces, henceforth, total sides be 6. 5 came once in a time in a dice. So, 1/6 is the probability here.
b) Find the probability of the following event. When dice is rolled down at once, there is only a way we can have a number 7.
As we already know that dice have 6 faces, henceforth, total sides be 6. 7 came zero in a dice. So, 0/6 is the probability here.
c) Find the probability of the following event. When dice is rolled down at once, there is only a way we can have number less than 5.
As we already know that dice have 6 faces, henceforth, total sides be 6. Less than 5 means 1 to 4. Henceforth, probability = Given outcomes/Total number of outcomes in experiment. So, 4/6 = 2/3 is the probability here.
d) Find the probability of the following event. When dice is rolled down at once, there is only a way we can have number greater than 6.
As we already know that dice have 6 faces, henceforth, total sides be 6. Means there is no number more than 6 here. Henceforth, 0/6 is the probability here.
e) Find the probability of the following event. When dice is rolled down at once, there is only a way we can have number less than 6.
As we already know that dice have 6 faces, henceforth, total sides be 6. Less than 6 means 1 to 5. Henceforth, probability = Given outcomes/Total number of outcomes in experiment. So, 5/6 is the probability here.
Additional information -
♛ About probability..!
◆ A “random experiment” is one whose outcomes cannot be predicted exactly in advance.
◆ There are certain experiments whose outcomes have an equal chance of occuring.
◆ Outcomes of an experiment are “equally likely” if each has the same chance of occuring.
◆ Probability of an event = given outcomes/Total number of outcomes in experiment. then the outcomes are equally likely.
◆ Chances and probability are related to real life.
◆ One or more outcomes of an experiment make an “event”.