Advertisements
Advertisements
प्रश्न
A game consists of spinning an arrow which comes to rest pointing at one of the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12; as shown below.
If the outcomes are equally likely, find the probability that the pointer will point at:
- 6
- an even number.
- a prime number.
- a number greater than 8.
- a number less than or equal to 9.
- a number between 3 and 11.
उत्तर
Total number of possible outcomes = 12
i. Number of favorable outcomes for 6 = 1
P(the pointer will point a 6) = `1/12`
ii. Favorable outcomes for an even number are 2, 4, 6, 8, 10, 12
Number of favorable outcomes = 6
P(the pointer will be at an even number) = `6/12 = 1/2`
iii. Favorable outcomes for a prime number are 2, 3, 5, 7, 11
Number of favorable outcomes = 5
P(the pointer will be at a prime number) = `5/12`
iv. Favourable outcomes for a number greater than 8 are 9, 10, 11, 12
Number of favorable outcomes = 4
P(the pointer will be at a number greater than 8) = `4/12 = 1/3`
v. Favorable outcomes for a number less than or equal to 9 are 1, 2, 3, 4, 5, 6, 7, 8, 9
Number of favorable outcomes = 9
P(the pointer will be at a number less than or equal to 9) = `9/12 = 3/4`
vi. Favorable outcomes for a number between 3 and 11 are 4, 5, 6, 7, 8, 9, 10
Number of favorable outcomes = 7
P(the pointer will be at a number between 3 and 11) = `7/12`
APPEARS IN
संबंधित प्रश्न
A bag contains 5 red balls and some blue balls. If the probability of drawing a blue ball is double that of a red ball, determine the number of blue balls in the bag
Examine the following statement and comment:
If a die is thrown once, there are two possible outcomes—an odd number or an
even number. Therefore, the probability of obtaining an odd number is 1 /2 and the
probability of obtaining an even number is 1/2
.
A box contains loo red cards, 200 yellow cards and 50 blue cards. If a card is drawn at random from the box, then find the probability that it will be neither yellow nor a blue card.
A circle with diameter 20 cm is drawn somewhere on a rectangular piece of paper with length 40 cm and width 30 cm. This paper is kept horizontal on table top and a dice, very small in size, is dropped on the rectangular paper without seeing towards it. If the dice falls and lands on the paper only, find the probability that it will fall and land outside the circle.
Three coins are tossed together. Write all the possible outcomes. Now, find the probability of getting at most two heads.
A letter is chosen at random from the letters of the word ASSOCIATION. Find the probability that the chosen letter is a consonant.
A die has 6 faces marked by the given numbers as shown below:
| 1 | 2 | 3 | – 1 | – 2 | – 3 |
The die is thrown once. What is the probability of getting an integer greater than – 3?
One ticket is drawn at random from a bag containing tickets numbered 1 to 40. The probability that the selected ticket has a number which is a multiple of 5 is ______.
Following experiment have equally likely outcomes? Explain.
A player attempts to shoot a basketball. She/he shoots or misses the shot.
Assertion (A): The probability that a leap year has 53 Sundays is `2/7`.
Reason (R): The probability that a non-leap year has 53 Sundays is `1/2`.
