5. If P(E) = 0.05, what is the probability of 'not E'? 6. A bag contains lemon flavored candies only. What is the probability that she: (i) draws an orange flavored candy? (ii) draws a lemon flavored candy? 7. It is given that in a group of 3 students, the probability of having the same birthday is 0.992. What is the probability that they do not have the same birthday? 8. A bag contains 3 red balls and 5 black balls. What is the probability that the ball drawn is: (i) red?
Answer (1)
Let's address each question one by one:
If P ( E ) = 0.05 , what is the probability of 'not E'?
The probability of an event not occurring is the complement of the probability that it does occur. This is calculated by subtracting the probability of the event from 1.
P ( not E ) = 1 − P ( E ) P ( not E ) = 1 − 0.05 = 0.95
So, the probability of 'not E' is 0.95.
A bag contains lemon flavored candies only. What is the probability that she: (i) draws an orange flavored candy?
Since there are only lemon flavored candies in the bag, the probability of drawing an orange flavored candy is 0.
(ii) draws a lemon flavored candy?
Because all candies in the bag are lemon flavored, the probability of drawing a lemon flavored candy is 1.
It is given that in a group of 3 students, the probability of having the same birthday is 0.992. What is the probability that they do not have the same birthday?
The probability that the students do not have the same birthday is the complement of all having the same birthday. This can be calculated as follows:
P ( not the same birthday ) = 1 − P ( same birthday ) P ( not the same birthday ) = 1 − 0.992 = 0.008
So, the probability that they do not have the same birthday is 0.008.
A bag contains 3 red balls and 5 black balls. What is the probability that the ball drawn is: (i) red?
To find the probability of drawing a red ball, divide the number of red balls by the total number of balls.
P ( red ) = Total number of balls Number of red balls P ( red ) = 3 + 5 3 = 8 3
So, the probability of drawing a red ball is 8 3 .
