Probability

2000003408

Level:

Two dice are thrown, white and red. What is the probability of getting a higher number on the white dice?

\( \frac{15}{36} = \frac{5}{12}\)

\( \frac{16}{36} = \frac{4}{9}\)

\( \frac{12}{36} = \frac{1}{3}\)

\( \frac{30}{36} = \frac{5}{6}\)

2000003407

Level:

Suppose that the probability of giving birth to a boy and a girl in the family is the same. What is the probability of the middle child being a girl in a family with three children?

\( \frac{1}{2}\)

\( \frac{1}{4}\)

\( \frac{1}{3}\)

\( \frac{1}{6}\)

2000003406

Level:

Suppose that the probability of giving birth to a boy and a girl in the family is the same. What is the probability that the oldest and the youngest child are boys in a family with three children?

\( \frac{1}{4}\)

\( \frac{1}{2}\)

\( \frac{1}{3}\)

\( \frac{1}{6}\)

2000003405

Level:

Statistics show that \(80\%\) of working women use a computer at work. Let’s randomly select two women from the group of working women. What is the probability that both women use a computer at work?

\( 0.64\)

\( 0.8 \)

\( 0.16 \)

\( 0.32\)

2000003404

Level:

Two dice are thrown. What is the probability of getting an odd number on both dice?

\( \frac{9}{36} = \frac{1}{4}\)

\( \frac{18}{36} = \frac{1}{2}\)

\( \frac{3}{36} = \frac{1}{12}\)

\( \frac{6}{36} = \frac{1}{6}\)

2000003403

Level:

Three dice are thrown. What is the probability of getting the same number on all three dice?

\( \frac{6}{216} = \frac{1}{36} \)

\( \frac{36}{216} = \frac{1}{6} \)

\( \frac{12}{216} = \frac{1}{18} \)

\( \frac{24}{216} = \frac{1}{9} \)

2000003402

Level:

Two dice are thrown. What is the probability of the total number being a two-digit prime number?

\( \frac{2}{36} = \frac{1}{18}\)

\(\frac{11}{36}\)

\( \frac{1}{36}\)

\( \frac{3}{36} = \frac{1}{12}\)

2000003401

Level:

One dice is thrown. What is the probability of getting a number divisible by three?

\( \frac{1}{3}\)

\( \frac{1}{6}\)

\( \frac{1}{2}\)

\( \frac{2}{3}\)

Probability -- Dice Throwing

Submitted by ladislav.foltyn on Sat, 03/02/2019 - 16:13

Question:

For each of the following problems choose the correct solution. Three dice are thrown together. Find the probability of getting…\vspace*{20pt}

At night, a parachutist landed on the spot \( M \), which is \( 3\,\mathrm{km} \) and \( 4\,\mathrm{km} \) away from the two straight and mutually perpendicular roads \( p \) and \( q \) respectively (see the picture). From the landing point, the parachutist walks straight in a random direction at the constant speed of \( 6\,\mathrm{km}/\mathrm{h} \). What is the probability that he reaches one of the roads in less than an hour? Round the result to \( 4 \) decimal places. \[ \] Hint: In the case of linear motion with constant speed, the speed is equal to the ratio of the displacement and the time of motion.

\( 0.5505 \)

\( 0.4495 \)

\( 0.6011 \)

\( 0.3989 \)

\( 0.3511 \)

\( 0.6489 \)

2000003408

2000003407

2000003406

2000003405

2000003404

2000003403

2000003402

2000003401

Probability -- Dice Throwing

1103164506

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