**State whether the given statement is true or false:**

__Question:__The probability of getting a multiple of 2 in a throw of an unbiased die is 12.

**Options:**

A. | True | |

B. | False | |

C. | 0.85 | |

D. | Cannot be determined |

**Answer: Option A**

: A

There are 3 favourable outcomes out of a total of six outcomes in this case.

Multiples of 2 ≤ 6 are 2, 4, and 6.

Hence, the probability is 12.

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## More Questions on This Topic :

**From a set of 17 cards, numbered 1, 2, ..., 17, one card is drawn at random. What is the probability that number on the drawn card is a multiple of 3 or 7 ?**

__Question 2.__- 517
- 717
- 817
- 617

**Answer: Option B**

: B

The total number of possibleoutcomes(counting of the cards from 1to 17) = 17

Favourable outcomes are3, 6, 7, 9, 12, 14 and 15.

∴ No. offavourable outcomes = 7

Let E be the event of getting a multiple of 3 or 7.

∴ Probability P(E) = Number of outcomes favorable to ENumber of all possible outcomes of the experiment=717

**If three coins are tossed simultaneously, then the probability of getting at least one head and tail is _____.**

__Question 4.__- 14
- 12
- 34
- 23

**Answer: Option C**

: C

Given, a coin is tossed 3 times. Total possible outcomes= {HHH, HHT, HTT, HTH, THH, TTH, THT, TTT}(where H = Heads, T= Tails)

Total no. of possible outcomes = 8

Favourable outcomes (getting at least onehead and tail) = {HHT, HTT, HTH, THH, TTH, THT}

No. of favorable outcomes = 6

Probability of an event E,

P(E)=number of favourable outcomestotal number of outcomes ⇒ P (getting at least onehead and tail) = 68 =34

∴ The probability of getting at least onehead and a tail is34.

**In a circular dartboard of radius 20 cm, there are 5 concentric circles. the radius of each inner concentric circle is 4 cm less than the outer concentric circle. Find the probability that a dart hits anywhere in the smallest circle assuming that the dart doesn't hit on the boundary of any circle.**

__Question 5.__- 15
- 125
- 1π
- 0

**Answer: Option B**

: B

Difference in radius between 2 circles = 4cm Let, radius of small circle be x.

⇒ x + 4 + 4 + 4 + 4 = 20 (from the diagram)

⇒x = 4cm Probability that the dart hits anywhere in the small circle = area(innermostcircle)area(outermostcircle) =π.42π202

=125

**There are 5 green, 6 black and 7 white balls in a bag. A ball is drawn at random from the bag. Find the probability that it is not white.**

__Question 6.__- 1118
- 718
- 23
- 518

**Answer: Option A**

: A

Given,

Number of green balls = 5

Number of black balls = 6

Number of white balls = 7

Total numberof outcomes = 5 + 6+ 7 = 18

There are 18 balls out of which 11 are not white.

⇒ Number of favourable outcomes = 11

Probability of an event, P(E)=Number of favourable outcomesTotal number of outcomes

⇒ P(balldrawn isnotwhite) = 1118 ∴ Probability that the ball drawn is not white is 1118 . Alternate Method:

P (balldrawn is white) = 718

By complementary event formula,

P( balldrawn is white) +P( balldrawn is not white) = 1

⇒ P( balldrawn is not white)

=1−P( balldrawn is white)

=1−718=1118

∴ Probability that the balldrawn is not white is 1118.

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