Free Printable Probability Of Combined events

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Probability Of Combined events

Total questions: 24

Worksheet time: 24mins

Name

Class

Date

Which of the following is correct?

_{n(S) = n(A) X n(B)}

n(S) = n(A) + n(B)

n(S) = n(A) - n(B)

n(S) = n(A) / n(B)

Box A contains a red card and two yellow cards.

Box B contains three red cards and a yellow card.

Fauziah chooses a card from box A and box B respectively.

What are the probability of Fauziah getting both yellow cards?

1/6

2/3

1/4

2/9

A box contains 12 bulbs where two of the bulbs are burnt. Two bulbs are selected at random from the box.

Calculate the probability of getting two burnt bulbs.

1/36

1/66

15/22

25/36

Which of the following is/are the addition rule of probability?

Seven cards labelled with the letters "G,E,M,B,I,R,A" are put in a box. A card is chosen at random from the box.

Calculate the probability that the card chosen is labelled with a vowel or letter "R"

4/7

12/49

3/7

37/49

Two prefects are chosen at random from five prefects, where three of them are in Form Four and two are in Form Five.

Calculate the probability that both prefects chosen are in the same form.

0.09

0.6

0.10

0.4

The probability of Kam Seng passing his Physics and Chemistry tests are 0.58 and 0.42 respectively.

Calculate the probability that

a) Kam Seng passes both tests.

0.2345

0.2436

0.2433

0.2536

The probabilities of Kam Seng passing in Science and Mathematics subjects are 0.78 and 0.56 respectively. Calculate the probability that at least one subject is passed.

0.9032

0.5336

0.4664

0.4368

A number is chosen at random from theset S = {x: x is an integer, $1\le x\le50$ }.
Calculate the probability of getting a factor number of 20 or a multiple of 8.

$\frac{12}{50}$

$\frac{13}{50}$

$\frac{8}{25}$

$\frac{6}{25}$

10.

Event C and D are independent where P(C) = 0.96 and

P(C ∩ D) = 0.36.

Find P(D).

0.306

0.323

0.346

0.375

11.

Five cards labelled with the letters "R, A, J, I, N" are put into a box. Two cards are taken out at random from the box one by one without replacement.

Which of the following is not the possible outcome for the event?

(I, J)

(J, J)

(I, N)

(R, A)

12.

The diagram shows the cards in box M and box N. A card is chosen at random from each of the boxes.

Calculate the probability of getting a perfect square and a vowel.

$\frac{1}{6}$

$\frac{1}{4}$

$\frac{3}{4}$

$\frac{1}{2}$

13.

The cards labelled with the letters

"K, E, B, O, L, E, H, J, A, D, I, A, N" are put in a container.

Determine $P\left(R\cup T\right).$

$\frac{6}{13}$

$\frac{7}{13}$

$\frac{8}{13}$

$\frac{9}{13}$

14.

Box A contains a red card and two yellow cards. Box B contains three red cards and a yellow card. Nelly chooses a card from Box A and Box B respectively. Calculate the probability that Nelly gets two yellow cards.

$\frac{11}{12}$

$\frac{1}{6}$

$\frac{3}{7}$

$\frac{1}{12}$

15.

A fair dice with four faces is labelled "1,2,3,4". The dice is rolled twice and the numbers that the dice lands on are recorded. By listing all the possible outcomes, calculate the probability of getting two odd numbers.

$\frac{1}{4}$

$\frac{3}{4}$

$\frac{1}{2}$

16.

Seven cards labelled with the letters "B,A,H,A,G,I,A" are put in a box. A card is chosen at random.

L is the event of getting a vowel

M is the event of getting a consonant

N is the event of getting a letter "B"

Calculate the probability of combined event L or N to occur.

$\frac{5}{7}$

$\frac{18}{49}$

$\frac{2}{7}$

$\frac{31}{49}$

17.

You pick a marble from this bag.
What is the probability you will choose either a black or white marble?

3/5

9/100

1/10

2/5

18.

A coin and a number cube with the numbers 1 through 6 are tossed. What is the probability of the coin showing tails and the number cube showing the number 3?

1/12

1/4

1/8

1/2

19.

What is the probability of rolling a dice and landing on a 4, and then rolling the dice again and landing on any even number?

1 ⁄ 6

1 ⁄ 8

1 ⁄ 2

1 ⁄ 12

20.

Which formula do you use when two events are NOT mutually exclusive?

P(A or B) = P(A) + P(B)

P(A or B) = P(A) + P(B) - P(A or B)

P(A and B) = P(A) * P(B)

P (A and B) = P(A) * P(B|A)

21.

If you roll one die, what is the probability of getting an odd number or a 4?

2/3

1/3

1/2

1/6

22.

The diagram above shows the cards in box P and box Q.

A card is chosen at random from each of the boxes. Calculate the probability of getting a perfect square and a vowel.

$\frac{1}{6}$

$\frac{1}{4}$

$\frac{3}{4}$

$\frac{5}{6}$

23.

Rolling an odd number and rolling an even number on a normal six-sided die are

Mutually exclusive

Not mutually exclusive

24.

Danny has 20 chocolates. 5 are milk chocolates, 10 are dark chocolates, and 5 are white chocolates. What is the probability of getting a milk chocolate or a dark chocolate?

3/4

1/2

1/15

3/10

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Probability Of Combined events

Total questions: 24

Worksheet time: 24mins

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