Why isn't the answer to TMUA-P1-MSTAT-008 shown upfront?

The options are lettered without marking the correct one so you attempt TMUA-P1-MSTAT-008 first — TMUA questions reward spotting the trap before you check the worked solution below.

Do I need a calculator for TMUA-P1-MSTAT-008?

No — calculators are banned in the TMUA. TMUA-P1-MSTAT-008 is set for a no-calculator target of about 120 seconds; the worked solution shows the fastest by-hand route.

Which TMUA specification point is TMUA-P1-MSTAT-008?

TMUA-P1-MSTAT-008 is Paper P1 · Statistics and probability (specification code M-Stat), level 1. Drill more of the same topic from this page.

TMUA-P1-MSTAT-008 — Paper P1 · Statistics and probability · Level 1

P1M-StatLevel 1~120s target

Spec: M-Stat · No calculator · ~120s

A fair six-sided die is rolled. Given that the result is even, what is the probability that it is a

6

Options

$\frac{1}{6}$
$\frac{1}{2}$
$\frac{1}{3}$
$\frac{2}{3}$
$\frac{1}{4}$

Letters only — the answer key is hidden. Work it out, then check the solution below.

Hint (check trope)

No written hint yet — check the trope: mprob-conditional, conditional-probability. Name the trap first, work the stem by hand, then open the solution below.

Show solution

Given the result is even, only

2, 4, 6

are possible — three equally likely outcomes, one of which is

6

. So the probability is

\frac{1}{3}

. Conditioning shrinks the sample space.
Trap:

\frac{1}{6}

ignores the given information and uses all six faces.

Keep practising

Same topic · same level
P1M-StatLevel 1
TMUA-P1-MSTAT-002
What is the mean of 4, 7, 9, 12 and 8?
Statistics and probability
Open TMUA-P1-MSTAT-002 →
Same trap: conditional-probability
P1M-StatLevel 3
TMUA-P1-MSTAT-006
1 in 10 people carries a trait. A test is 90\% accurate both ways (true-positive and true-negative rates are 0.9 ). Give…
Statistics and probability
Open TMUA-P1-MSTAT-006 →
Step up a level
P1M-StatLevel 2
TMUA-P1-MSTAT-001
Two fair six-sided dice are rolled. What is the probability that the total is 9?
Statistics and probability
Open TMUA-P1-MSTAT-001 →

Browse more

Loading…

Keep practising

Same topic · same level

P1M-StatLevel 1

TMUA-P1-MSTAT-002

What is the mean of 4, 7, 9, 12 and 8?

Statistics and probability

Open TMUA-P1-MSTAT-002 →

Same trap: conditional-probability

P1M-StatLevel 3

TMUA-P1-MSTAT-006

1 in 10 people carries a trait. A test is 90\% accurate both ways (true-positive and true-negative rates are 0.9 ). Give…

Statistics and probability

Open TMUA-P1-MSTAT-006 →

Step up a level

P1M-StatLevel 2

TMUA-P1-MSTAT-001

Two fair six-sided dice are rolled. What is the probability that the total is 9?

Statistics and probability

Open TMUA-P1-MSTAT-001 →

TMUA-P1-MSTAT-008 — Paper P1 · Statistics and probability · Level 1

Options

Keep practising

Master Statistics and probability

TMUA-P1-MSTAT-008 — Paper P1 · Statistics and probability · Level 1

Options

Keep practising

Master Statistics and probability