मराठी
महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता १० वी

If One coin and one die are thrown simultaneously, find the probability of the following events. Event A: To get a tail and an even number - Algebra

Advertisements
Advertisements

प्रश्न

If One coin and one die are thrown simultaneously, find the probability of the following events.

Event A: To get a tail and an even number

बेरीज

उत्तर

Sample space,

S = {(H, 1), (H, 2), (H, 3), (H, 4), (H, 5), (H, 6),

(T, 1), (T, 2), (T, 3), (T, 4), (T, 5), (T, 6)}

∴ n(S) = 12

Event A: To get a tail and an even number.

∴ A = {(T, 2), (T, 4), (T, 6)}

∴ n(A) = 3

∴ P(A) = `("n"("A"))/("n"("S"))`

∴ P(A) = `3/12`

∴ P(A) = `1/4`

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 5: Probability - Q.3 (B)

व्हिडिओ ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्‍न

The six faces of a die are marked
The event M is getting a vowel on the upper face of the die when it is tossed. Complete the following activity and find the probability of the event.

`"S" = {square}`
`"n"("S") = square`
`"M" = {square}`
`"n"("M") =square`
`"P"("M") = square/square=square`


Three coins are tossed simultaneously, find S and n(S).


Choose the correct alternative answer for the following question and write the alphabet.

Which of the following number cannot represent a probability?


If one die is rolled, then find the probability of the following event by completing the activity.

Event A: The number on the upper face is prime.

Activity: Let ‘S’ be the sample space.

S = {1, 2, 3, 4, 5, 6}  

∴ n(S) = 6

Event A: Prime number on the upper face.

A = {`square`}            

∴ n(A) = 3

P(A) = `square/(n(S))`    .....[Formula]

= `square/6`

∴ P(A) = `1/square`


If one die is rolled, then find the probability of event that the number on the upper face is greater than 6?


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`


If two dice are rolled simultaneously, find the probability of the following events.

Event A: The sum of the digits on the upper faces is at least 10


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 number divisible by 3


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


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 = ______.


A coin is tossed twice and the four possible outcomes are assumed to be equally likely. If A is the event, 'both head and tail have appeared' and B the event,' at most one tail is observed,' then the value of P(B/A) is ______.


If six students, including two particular students A and B, stand in a row, then the probability that A and B are separated with one student in between them 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 ______.


A and B are events such that `P(A ∪ B)= 3/4`, `P(A ∩ B) = 1/4`, `P(overlineA) = 2/3` then `P(overlineA ∩ B)` is ______.


A card is drawn from well shuffled pack of 52 playing cards. Find the probability that the card drawn is a face card.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×