Why isn't the answer to TMUA-P1X-MSTAT-06 shown upfront?

The options are lettered without marking the correct one so you attempt TMUA-P1X-MSTAT-06 first — TMUA questions reward spotting the trap before you check the worked solution below.

Do I need a calculator for TMUA-P1X-MSTAT-06?

No — calculators are banned in the TMUA. TMUA-P1X-MSTAT-06 is set for a no-calculator target of about 180 seconds; the worked solution shows the fastest by-hand route.

Which TMUA specification point is TMUA-P1X-MSTAT-06?

TMUA-P1X-MSTAT-06 is Paper P1 · Statistics and probability (specification code M-Stat), level 2. Drill more of the same topic from this page.

TMUA-P1X-MSTAT-06 — Paper P1 · Statistics and probability · Level 2

P1M-StatLevel 2~180s target

Spec: M-Stat · No calculator · ~180s

A bag holds

3

red and

7

blue counters. Two are drawn at random without replacement. Given that the first counter drawn is red, what is the probability the second is red?

Options

$\frac{3}{10}$
$\frac{2}{9}$
$\frac{1}{3}$
$\frac{2}{10}$
$\frac{9}{10}$

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: without-replacement, conditional-probability. Name the trap first, work the stem by hand, then open the solution below.

Show solution

After one red is removed,

2

red remain out of

9

counters, so the probability is

\frac{2}{9}

. Trap:

\frac{3}{10}

reuses the original counts — plausible if you ignore that the first draw changes the bag.

Keep practising

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Same trap: without-replacement
P1M-StatLevel 2
TMUA-P1-MSTAT-005
A bag holds 4 red and 6 blue counters. Two are drawn at random without replacement. What is the probability both are red…
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Step up a level
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…
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Open TMUA-P1-MSTAT-006 →

Browse more

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Keep practising

Same topic · same 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 →

Same trap: without-replacement

P1M-StatLevel 2

TMUA-P1-MSTAT-005

A bag holds 4 red and 6 blue counters. Two are drawn at random without replacement. What is the probability both are red…

Statistics and probability

Open TMUA-P1-MSTAT-005 →

Step up a level

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 →

TMUA-P1X-MSTAT-06 — Paper P1 · Statistics and probability · Level 2

Options

Keep practising

Master Statistics and probability

TMUA-P1X-MSTAT-06 — Paper P1 · Statistics and probability · Level 2

Options

Keep practising

Master Statistics and probability