NCUK Probability

NCUK Probability

11th - 12th Grade

17 Qs

quiz-placeholder

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NCUK Probability

NCUK Probability

Assessment

Quiz

Mathematics

11th - 12th Grade

Practice Problem

Medium

Created by

Maths Manchester

Used 13+ times

FREE Resource

17 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

A box holds 4 blue beads and 5 green beads. One bead is taken and not replaced.

2 yellow beads are then added to the box and a second bead is taken.

Find the probability that neither bead is blue.

25\frac{2}{5}

0

3

13\frac{1}{3}

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

A student plays two games of badminton. The probability that she wins the first game is 0.65. If she wins the first game, the probability that she wins the second is 0.8. If she does not win the first game, the probability that she wins the second is 0.4. Find the probability that she wins exactly one game.

0.27

0.34

0.18

0.91

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

The probability it rains on any day is 0.6. Find the probability that it rains:

a) on both days.

b) on exactly one day.

a) 0.43 b) 0.67

a) 0.36 b) 0.48

a) 0.32 b) 0.98

a) 0.41 b) 0.11

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

X, Y and Z are three independent events. Event X occurs with probability 0.39, event Y occurs with probability 0.53 and event Z occurs with probability 0.08.

Find the probability that none of the events X, Y or Z occurs.

Give your answer to 3 significant figures.

0.263764

0.26

0.264

0.263

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

A box holds 3 red beads and 2 blue beads. Two beads are drawn, one after the other and with no replacement.

Find the probability that both beads will be of the same colour.

12\frac{1}{2}

92\frac{9}{2}

47\frac{4}{7}

25\frac{2}{5}

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

A bag holds 5 red sweets and 4 blue sweets. Three sweets are drawn from the bag, one after other and with no replacement.

a) Find the probability that all three sweets are red.

After the three sweets have been taken, 7 green sweets are added to the bag. Another sweet is then taken.

b) Find the probability it is not green.

(a) 542 (0.12) (b)13 (0.333)\left(a\right)\ \frac{5}{42}\ \left(\approx0.12\right)\ \left(b\right)\frac{1}{3}\ \left(\approx0.333\right)

(a) 13 (0.333) (b)27 (0.286)\left(a\right)\ \frac{1}{3}\ \left(\approx0.333\right)\ \left(b\right)\frac{2}{7}\ \left(\approx0.286\right)

(a) 417 (0.24) (b)213 (0.154)\left(a\right)\ \frac{4}{17}\ \left(\approx0.24\right)\ \left(b\right)\frac{2}{13}\ \left(\approx0.154\right)

(a) 542 (0.12) (b)613 (0.016)\left(a\right)\ \frac{5}{42}\ \left(\approx0.12\right)\ \left(b\right)\frac{6}{13}\ \left(\approx0.016\right)

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

A box holds 7 red beads, 4 blue beads and 3 green beads.

Three beads are drawn at random, one after the other with no replacement.

Find the probability that the first two beads are blue and the third bead is green.

3182\frac{3}{182}

2117\frac{2}{117}

7213\frac{7}{213}

1543\frac{1}{543}

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