Q:
6. Rainy Days
A weather forecast system predicts rain using three models: \( M_{1}, M_{2}, M_{3} \).
- \( M_{1} \) is used \( 50 \% \) of the time, \( M_{2} 30 \% \), and \( M_{3} 20 \% \).
- The probabilities of correctly predicting rain are \( 85 \%, 80 \% \), and \( 90 \% \) for \( M_{1}, M_{2} \), and
respectively.
A random day is selected.
- What is the probability that rain is correctly predicted?
Q:
6. Rainy Days
A weather forecast system predicts rain using three models: \( M_{1}, M_{2}, M_{3} \).
- \( M_{1} \) is used \( 50 \% \) of the time, \( M_{2} 30 \% \), and \( M_{3} 20 \% \).
- The probabilities of correctly predicting rain are \( 85 \%, 80 \% \), and \( 90 \% \) for \( M_{1}, M_{2} \), and \( M \)
respectively.
A random day is selected.
- What is the probability that rain is correctly predicted?
Q:
The probability of getting \( 80 \% \) or more of
28. the questions correct on a 10 - question
truefalse exam merely by guessing is
(A) \( 5 / 32 \)
(B) \( 1 / 16 \)
(C) \( 3 / 16 \)
(D) \( 7 / 128 \)
Q:
If you draw a card from a deck and do not replace it, what type of events does this represent when drawing a second card?
Q:
If you draw a card from a deck and do not replace it, what type of events does this represent when drawing a second card?
Q:
If you flip two coins, what are the possible outcomes for the combined events?
Q:
3 лыжных гонках участвуют 5
спортсменов из России, 8
спортсменов из Норвегии
12 спортсмена из Швеции. Порядок, в
котором спортсмены стартуют,
определяется жребием. Найди
зероятность того, что первым будет
ттартовать спортсмен из Норвегии.
Q:
English has 26 different letters. How many consecutive words have
to be selected in a book to have at least 4 that start with the same
letter?
Words to select: Ex: 20
Q:
A bag contains 10 red marbles, 10 white marbles, and 10 blue
marbles. What is the minimum number of marbles that need to be
picked to ensure that at least 6 marbles have the same color?
Marbles to pick: Ex: 20
Q:
In a standard deck of 52 cards and 4 suits, how many cards have
to be picked to be sure that at least 3 are from the same suit?
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