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Please anyone know how to solve those problems? From a regular deck of cards, se

ID: 3045185 • Letter: P

Question

Please anyone know how to solve those problems? From a regular deck of cards, select a card, look at it and remember what it is or write it down, replace it into the same deck, shuffle the deck at least 7 times, then select a card. Find the single probability that both 24 cards are red. LEAVE ANSWER AS AN UNREDUCED FRACTION From a regular deck of cards, select a card, look at it and remember what it is or write it down, replace it into the same deck, shuffle the deck at least 7 times, then select a card. Find the single probability that both cards are kings. LEAVE ANSWER AS AN UNREDUCED FRACTION 25 26 10 8 6 5 6 Spin this wheel and record the number that has the arrow pointing to it (after you spin); spin the wheel again and record the second number; find the probability that both numbers are even. LEAVE ANSWER AS AN UNREDUCED FRACTION Toss a regular die one time, record thenumber showing; then pick up the same die and toss it again. Find the SINGLE probability that the first number is even and the second number is 6 27 LEAVE ANSWER AS AN UNREDUCED FRACTION-ONE FRACTION Toss three regular dice one time, record the total; Find the probability that the dice will show 28 triples ( triples means all dice have the same number showing). LEAVE ANSWER AS AN UNREDUCED FRACTION

Explanation / Answer

Problem No. 24

n = number of cards in a deck = 52

number of red cards = 26

Probability first card is drawn is red = 26/52

since replication is allowed. i.e the card is selected and noten, then repleaced back into the deck. hence the number of cards in deck and number of red cards in deck remains same at every draw.

Probability second card is drawn is red = 26/52

By multiplication theorem

P(Both the cards are red) =26/52 *26/52 = 1/4

Problem No. 25

n = number of cards =52

number of king cards = 4

Probability first card is drawn is king =4/52 = 1/13

since replication is allowed. i.e the card is selected and noten, then repleaced back into the deck. hence the number of cards in deck and number of king cards in deck remains same at every draw.

Probability second card is drawn is red = 4/52 = 1/13

By multiplication theorem

P(Both the cards are King) =1/13 *1/13 = 1/169

Problem No .26

n = total number on wheel = 11

number of even number on wheel = 6

P( Event number at first spin) = 6/11

P(Even number at second spin) = 6/11

( The numbers on a wheel remains same at every spin)

by multiplication theorem

P( Both numbers are even) = 6/11 *6/11 = 36/121

Problem 27:

A die contain 6 numbers as 1, 2, 3,4,5,6

n =number on a die = 6

number of even number on a die =3

P( first number is even) = 3/6 =1/2

P( Second number is 6) = 1/6

By multipliction theorem

P( First number is even and second number is 6) = 1/2 *1/6 = 1/12

Problem 28

Three dice are tossed one time

n = total number of possible cases =63 = 216

There are six possible cases that the dice will show tripples as { 111,222,333,444,555,666}

P( The dice will show tripples ) = 6/216 = 1/36