Advertisements
Advertisements
Question
A box contains 5 strawberry chocolates, 6 coffee chocolates, and 2 peppermint chocolates. If one of the chocolates is picked from the box at random, find the probability of the following events by completing the activity.
Event A: it is coffee chocolate.
Activity: Let ‘S’ be the sample space.
∴ n(S) = 5 + 6 + 2 = 13
Event A: it is a coffee chocolate.
∴ n(A) = `square`
∴ P(A) = `square/("n"("S"))` .......[Formula]
P (A) = `square/13`
Solution
Let ‘S’ be the sample space.
∴ n(S) = 5 + 6 + 2 = 13
Event A: it is a coffee chocolate.
∴ n(A) = 6
∴ P(A) = `("n"("A"))/("n"("S"))` .......[Formula]
P (A) = `6/13`
APPEARS IN
RELATED QUESTIONS
Three coins are tossed simultaneously, find S and n(S).
Two-digit numbers are formed from the digits 0,1,2,3,4 where digits are not repeated. Find the probability of the events that:
(a) The number formed is an even number.
(b) The number formed is a prime number.
Choose the correct alternative answer for the following question and write the alphabet.
Which of the following number cannot represent a probability?
If two coins are tossed, find the probability of event getting head on both the coins
If One coin and one die are thrown simultaneously, find the probability of the following events.
Event B: To get head and an odd number
A box contains 36 cards, bearing only one number from 1 to 36 on each. If one card is drawn at random, find the probability of an event that the card drawn bears, a prime number
A box contains 36 cards, bearing only one number from 1 to 36 on each. If one card is drawn at random, find the probability of an event that the card drawn bears, a number divisible by 3
A bag contains 5 white balls and some blue balls. If the probability of drawing a blue ball is double that of a white ball, determine the number of blue balls in the bag
A missing helicopter is reported to have crashed somewhere in the rectangular region shown in the figure. What is the probability that it crashed inside the lake shown in the figure?
Using the digits 0, 2, 3, 5 the two-digit numbers are constructed without repetition of digits. Find the probability of the following events:
Condition for event A: The number formed is even.
Let A be an event. For event A, which probability cannot be possible?
A handbag contained fifty ten rupees note, thirty-five fifty rupees note and fifteen hundred rupees note. One note is drawn from a handbag. What is the probability of getting:
Fifty rupees note
An urn contains 12 red balls, 15 yellow balls and 18 blue balls. A ball is choosen at random, then to find the probability of choosing a blue and red coloured balls, fill in the boxes.
Total number of balls = 12 + `square` + `square` = `square`
(1) Let E be the event that the choosen ball is blue.
Number of blue balls = `square`
Thus,
P(E) = `"Number of blue balls"/"Total number of balls"`
= `square/square`
(2) Let F be the event that the choosen ball is red.
Number of red balls = `square`
Thus,
P(F) = `square/"Total number of balls"`
= `square/square`
In a workshop, there are five machines and the probability of any one of them to be out of service on a day is `1/4`. If the probability that at most two machines will be out of service on the same day is `(3/4)^3k`, then k is equal to ______.
A man has 3 pairs of white socks and 2 pairs of blue socks kept together in a bag. If he dressed up hurriedly in the dark, the probability that after he has put on a white sock, he will then put on another white sock is `M/n` (`M/n` is in simplest form) then n – M = ______.
For three events A, B and C, P(Exactly one of A or B occurs) = P(Exactly one of B or C occurs) = P(Exactly one of C or A occurs) = `1/4` and P(All three events occur simultaneously) = `1/16`. Then the probability that at least one of the events occurs is ______.
From a group of 10 men and 5 women, four member committees are to be formed each of which must contain at least one woman. Then the probability for these committees to have more women than men is ______.
One coin and a die are thrown simultaneously. Find the probability of the following event:
Event B: To get a tail and an odd number.