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am#2 Two dice are tossed once. Compute the following probabilities. 1) a. The toss results in...
1) Two dice are tossed once. Compute the following probabilities. a. The toss results in a sum of 9 or 6 b. The toss results in sum of 18. c. The sum is less than 7 and even. 3) T fr in se 2) Two cards are selected from a standard deck without replacement. Compute the following probabilities. 4) Th co co se The first and second cards are diamonds. The second card is a diamond given that the first...
A fair coin is tossed. If the toss results in a head, then one die is thrown, while if the toss results in a tail, then two dice are thrown. Let X denote the random variable that counts the number of spots showing on the thrown die or dice. The values that X can assume are the positive integers from 1 to 12 inclusive. Find the following probabilities. Your answers should be whole numbers or fractions in lowest terms. Pr(X=1)...
Two regular 6-sided dice are tossed. Compute the probability that the sum of the pips on the upward faces of the 2 dice is the following. (See the figure below for the sample space of this experiment. Enter your probability as a fraction.) At least 9
(b) IULUI SAPT Two dice are rolled. Find the probabilities of the following events. 13. The first die is 3 or the sum is 8. 14. The second die is 5 or the sum is 10. One card is drawn from an ordinary deck of 52 cards. Find the probabilities of drawing the following cards. 15. (a) A 9 or 10 (b) A red card or a 3 (c) A 9 or a black 10 (d) A heart or a...
Two dice are rolled. Determine the probability of the following. (Enter your probabilities as fractions.) (a) rolling an even sum (b) rolling a sum greater than 10 (c) rolling an even sum and a sum greater than 10 (d) rolling an even sum or a sum greater than 10
We toss two dice. Consider the events E: The sum of the outcomes is even. F: At least one outcome is 6. Calculate the conditional probabilities P(E I F) and P(F I E).
Two fair dice, one blue and one red, are tossed, and the up face on each die is recorded. Define the following events: E:{The sum of the numbers is even } F:{A6 on the blue die } Find the following probabilities:(a) P(E)=18 / 36(b) P(F)=4 / 36(c) P(E ∩ F)=Are events E and F independent?A. yesB. no
Two fair dice are tossed and the up face on each die is recorded. Find the probability of observing each of the following events: A:{the difference of the numbers is 1} B:{the sum of the numbers is equal to one} C:{the sum of the numbers is even} P(A)= P(B)= P(C)=
3. Using excel create the sample space for two dice. 4. Find the following probabilities using the sample space your created in 3. a. P[sum is even] b. P[sum is odd] c. P[one die is even and one die is odd] d. P[one die is even or the sum is 5] (These last three deal with the probabilities of a craps game.) e. P[sum is 7 or 11] f. P[sum is 2, 3 or 12] g. P[sum is not 2,...
7. Rolling Two Dice If two dice are rolled one time, find the probability of getting these results. a. A sum of 10 b. A sum of 6 or 11 c. Doubles and sum less than 6