Question
In: Math
Q-1)1 to 5 in bag A; 1 to 11 in bag B there are numbered cards....
Q-1)1 to 5 in bag A; 1 to 11 in bag B there are numbered cards.
A random from the randomly selected bag card is selected. Since
there is an odd number on the selected card, A
What is the probability of being chosen from the bag? Note: Make a
tree diagram and
express your results with Bayes Theorem and
Confirm.
Q-2)ABCD is a rectangle whose long edge is twice the short edge. Long midpoint X of edge AB; The midpoint of the short edge AD is Y. This choice with the XAY triangle. A randomly selected point in a rectangle Find the probability of being selected in the XAY triangle.
Q-3)Ali and Ahmet are playing matches. Ali’s probability of
winning the match
3 times the probability of winning. Ali and Ahmet’s chances of
winning
Find and using the Binomial distribution:
a) In the event of 3 matches, the probability of Ali winning
twice
You calculate.?
b) At least 1 win of Ali in case of 3 matches
Calculate the probability.?
Thanks
Solutions
milcah answered 2 years agoRelated Solutions
Two balls are drawn, without replacement, from a bag containing 11 red balls numbered 1-11 and...
Two
balls are drawn, without replacement, from a bag containing 11 red
balls numbered 1-11 and 5 white balls numbered 12-16. (Enter your
probabilities as fractions)
(a) What is the probability that the second ball is red, given
that the first ball is white?
(b) What is the probability that both balls are even
numbered?
(c) What is the probability that the first ball is red and
even-numbered and the second ball is even numbered?
A deck consists of cards with 5 suits labelled A to E and numbered ranks from...
A deck consists of cards with 5 suits labelled A to
E and numbered ranks from 1 to 6
. Each card is equally
likely to be drawn.
Suits A
to C
are red.
Suits D
to E
are blue.
A card is drawn at random from this deck.
1) What is the probability of it having a rank less than or
equal to 2 given it has a rank less than or equal to 3?
2)What is the probability...
There are 6 numbered balls in a bag. Each ball has a distinct number and the...
There are 6 numbered balls in a bag. Each ball has a distinct
number and the numbers are in {1, 2, 3, 4, 5, 6}. Take 3 balls from
the bag (without replacement) randomly and read the number on each
ball. Let X1 be the maximum number and X2 be the minimum number
among the three observed numbers. (a) Find the marginal p.m.f. of
X1. (b) Find the marginal p.m.f. of X2. (c) Find the joint p.d.f.
of X1 and...
(a)Show that S = {a+b √ 5 | a, b ∈ Q} is a subring of...
(a)Show that S = {a+b √ 5 | a, b ∈ Q} is a subring of the real
numbers (with the usual + and × of real numbers). Explain why S is
a field.
(b) Prove that if r is an element of a ring R and r 3 = 0, then
1 − r is a unit in R.
(c) Write down all the nilpotent elements of Z24, stating the
index of nilpotence in each case. Verify the statement...
A deck consists of 72 cards with 9 suits labelled ? to ? and numbered ranks...
A deck consists of 72 cards with 9 suits labelled ? to ? and
numbered ranks from 1 to 8. That is, there are 8 cards of each suit
and 9 cards of each rank. What is the probability of it being suit
C or having rank 6?
Jack and Jill each have a bag of balls numbered 1 through 31. Jack draws 15...
Jack and Jill each have a bag of balls numbered 1 through 31.
Jack draws 15 balls without replacement from his bag and Jill draws
12 balls without replacement from her bag. If they both draw the
same numbered ball they call it a match. What is the expected
number of matches?
(a) Prove that Q(sqareroot 5)={a+b sqareroot 5 ; a,b in Z} is a subring of Z....
(a) Prove that Q(sqareroot 5)={a+b sqareroot 5 ; a,b in Z} is a
subring of Z.
(b) Show that Q(sqareroot 5) is a conmutative ring.
(c) Show that Q(sqareroot 5) has a multiplicative identity.
(d) show that Q(sqareroot 5) is a field.(Hint : you want to
mulitply something by he conjugate.)
(Abstract Algebra)
A special deck of cards has 5 red cards, and 4 purple cards. The red cards...
A special deck of cards has 5 red cards, and 4 purple cards. The
red cards are numbered 1, 2, 3, 4, and 5. The purple cards are
numbered 1, 2, 3, and 4. The cards are well shuffled and you
randomly draw one card. R = card drawn is red E = card drawn is
even-numbered a. How many elements are there in the sample space?
b. P(E) = Round to 4 decimal places.
Cards are: Black A, K, Q, J Red A, K, Q, J A K Q J...
Cards are:
Black A, K, Q, J
Red A, K, Q, J
A
K
Q
J
A
K
Q
J
1.) The probability of picking a numeric card if you pick two
cards randomly
2.) The probability of Picking K and Q if you pick two cards
randomly. It does not matter which color. However, K needs to be in
your left and Q needs to be in your right hand.
3.) The probability of Picking K and Q if...
Cards are: Black A, K, Q, J Red A, K, Q, J A K Q J...
Cards are:
Black A, K, Q, J
Red A, K, Q, J
A
K
Q
J
A
K
Q
J
1.) The probability of picking a numeric card if you pick two
cards randomly
2.) The probability of Picking K and Q if you pick two cards
randomly. It does not matter which color. However, K needs to be in
your left and Q needs to be in your right hand.
3.) The probability of Picking K and Q if...
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